Details

analyze170.0ms (1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
50%	50%	50%	0.1%	0%	0%	0%	5
50%	50%	50%	0.1%	0%	0%	0%	6
50%	50%	50%	0.1%	0%	0%	0%	7
50%	50%	50%	0.1%	0%	0%	0%	8
50%	50%	50%	0.1%	0%	0%	0%	9
50%	50%	50%	0.1%	0%	0%	0%	10
50%	50%	50%	0.1%	0%	0%	0%	11
50%	50%	50%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample11.0s (64.6%)

Results

8.7s	7770×	body	8192	exit
1.1s	2003×	body	1024	valid
745.0ms	5069×	body	256	valid
288.0ms	980×	body	512	valid
145.0ms	204×	body	2048	valid

Bogosity

preprocess13.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-a-b`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	11	38
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))

Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	10	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

43.94%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.94%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.03%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	8.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series64.0ms (0.4%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
19.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1808×	`add-sqr-sqrt`
1792×	`*-un-lft-identity`
1664×	`add-cube-cbrt`
1644×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	177	34
2	2227	34

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))))

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1090×	`fma-def`
1004×	`unswap-sqr`
902×	`distribute-lft-in`
844×	`distribute-rgt-in`
516×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2618
1	499	2362
2	1982	2350
3	7711	2350

Stop Event

1×	node limit

Counts

74 → 115

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))

Outputs
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
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(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(+.f64 (exp.f64 b) (exp.f64 a))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))

eval30.0ms (0.2%)

Compiler: Compiled 1984 to 1041 computations (47.5% saved)

prune22.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	106	9	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	10	116

Error

0.95%

Counts

116 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.65%	(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
▶	1.96%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	2.75%	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	48.53%	(log1p.f64 (exp.f64 b))
▶	48.65%	(log1p.f64 (exp.f64 a))
	44.06%	(log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))
	46.36%	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	43.94%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	45.81%	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
▶	48.55%	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 176 to 130 computations (26.1% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 b (+.f64 1 (exp.f64 a)))
✓	0.02%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
✓	0.02%	(+.f64 1 (exp.f64 a))

Compiler

Compiled 30 to 14 computations (53.3% saved)

series42.0ms (0.2%)

Counts

3 → 32

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
11.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
3.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
0.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
0.0ms	b	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`associate-*r/`
1068×	`*-commutative`
988×	`associate-*l/`
918×	`associate-/r*`
676×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	229	59
2	3055	59

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

Inputs
(+.f64 1 (exp.f64 a))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (-.f64 1 (pow.f64 (exp.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (+.f64 1 (pow.f64 (exp.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (+.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 1 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (.f64 (exp.f64 a) (expm1.f64 a))))) (-.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (pow.f64 (.f64 (exp.f64 a) (expm1.f64 a)) 3))) (-.f64 (+.f64 1 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (.f64 (exp.f64 a) (expm1.f64 a)))) (.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1 (-.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (/.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (/.f64 (-.f64 1 (exp.f64 a)) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (/.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (/.f64 (-.f64 1 (exp.f64 a)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) 1)) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) 1) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) 1) (neg.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 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Outputs

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1 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (-.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))))

simplify161.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1308×	`associate-+r+`
1032×	`+-commutative`
634×	`associate-r`
598×	`associate-/l*`
508×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	588	12328
1	1637	11828
2	7237	11678

Stop Event

1×	node limit

Counts

250 → 348

Calls

Call 1

Inputs
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(-.f64 (+.f64 1 (exp.f64 a)) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(-.f64 (+.f64 2 (exp.f64 a)) 1)
(*.f64 1 (+.f64 1 (exp.f64 a)))
(*.f64 (+.f64 1 (exp.f64 a)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (-.f64 1 (pow.f64 (exp.f64 a) 2)))
(.f64 (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (+.f64 1 (pow.f64 (exp.f64 a) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (+.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 2))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 1 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (.f64 (exp.f64 a) (expm1.f64 a))))) (-.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (pow.f64 (.f64 (exp.f64 a) (expm1.f64 a)) 3))) (-.f64 (+.f64 1 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (.f64 (exp.f64 a) (expm1.f64 a)))) (.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 1 (/.f64 -1 (-.f64 -1 (exp.f64 a))))
(/.f64 (+.f64 1 (exp.f64 a)) 1)
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (/.f64 (-.f64 1 (exp.f64 a)) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (/.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (/.f64 (-.f64 1 (exp.f64 a)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (.f64 1 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) 1)) (expm1.f64 a))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) 1) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) 1) (neg.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) 1) (expm1.f64 a))
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(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 (+.f64 1 (exp.f64 a)) b))) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) 3)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 (+.f64 1 (exp.f64 a)) b)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (-.f64 (.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) 1) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 -1 (-.f64 -1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)
(*.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 b (/.f64 -1 (-.f64 -1 (exp.f64 a))))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(*.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b)
(.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (neg.f64 b) (/.f64 1 (-.f64 -1 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (sqrt.f64 b))
(*.f64 (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (/.f64 (sqrt.f64 b) 1))
(*.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 b) 2))
(*.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (cbrt.f64 b) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 b 1) (/.f64 -1 (-.f64 -1 (exp.f64 a))))
(*.f64 (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (.f64 b (-.f64 1 (exp.f64 a))))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (.f64 b (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 1 (-.f64 -1 (exp.f64 a))) (neg.f64 b))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (/.f64 b 1) 1) (/.f64 -1 (-.f64 -1 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 1 (exp.f64 a))) (cbrt.f64 b))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
(*.f64 (/.f64 b (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (neg.f64 (-.f64 1 (exp.f64 a))))
(.f64 (/.f64 b (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 b (-.f64 (pow.f64 (exp.f64 a) 2) 1)) (expm1.f64 a))
(*.f64 (/.f64 (neg.f64 b) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (-.f64 1 (exp.f64 a)))
(.f64 (/.f64 (neg.f64 b) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 (/.f64 b 1) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (neg.f64 (-.f64 1 (exp.f64 a))))
(.f64 (/.f64 (/.f64 b 1) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 (/.f64 b 1) (-.f64 (pow.f64 (exp.f64 a) 2) 1)) (expm1.f64 a))
(.f64 (/.f64 (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(.f64 (/.f64 (/.f64 b (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 (/.f64 b (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1)
(pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 1/3)
(neg.f64 (/.f64 b (-.f64 -1 (exp.f64 a))))
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))
(log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))

Outputs
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 a a) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(+.f64 (fma.f64 1/6 (pow.f64 a 3) a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 1/2 b (-.f64 (fma.f64 (.f64 a a) 1/8 (log.f64 2)) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
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(/.f64 b (*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (.f64 b (-.f64 1 (exp.f64 a))))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (exp.f64 (+.f64 a a)))))
(*.f64 b (/.f64 (expm1.f64 a) (+.f64 -1 (exp.f64 (+.f64 a a)))))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (.f64 b (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (exp.f64 (+.f64 a a)))))
(*.f64 b (/.f64 (expm1.f64 a) (+.f64 -1 (exp.f64 (+.f64 a a)))))
(.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (/.f64 1 (-.f64 -1 (exp.f64 a))) (neg.f64 b))
(/.f64 (neg.f64 b) (-.f64 -1 (exp.f64 a)))
(/.f64 b (neg.f64 (-.f64 -1 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 b (*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2))))
(*.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 b (*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2))))
(*.f64 (/.f64 (/.f64 b 1) 1) (/.f64 -1 (-.f64 -1 (exp.f64 a))))
(/.f64 (neg.f64 b) (-.f64 -1 (exp.f64 a)))
(/.f64 b (neg.f64 (-.f64 -1 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 1 (exp.f64 a))) (cbrt.f64 b))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 b (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (neg.f64 (-.f64 1 (exp.f64 a))))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (exp.f64 (+.f64 a a)))))
(*.f64 b (/.f64 (expm1.f64 a) (+.f64 -1 (exp.f64 (+.f64 a a)))))
(.f64 (/.f64 b (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (/.f64 b (-.f64 (pow.f64 (exp.f64 a) 2) 1)) (expm1.f64 a))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (exp.f64 (+.f64 a a)))))
(*.f64 b (/.f64 (expm1.f64 a) (+.f64 -1 (exp.f64 (+.f64 a a)))))
(*.f64 (/.f64 (neg.f64 b) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (-.f64 1 (exp.f64 a)))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (exp.f64 (+.f64 a a)))))
(*.f64 b (/.f64 (expm1.f64 a) (+.f64 -1 (exp.f64 (+.f64 a a)))))
(.f64 (/.f64 (neg.f64 b) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (/.f64 (/.f64 b 1) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (neg.f64 (-.f64 1 (exp.f64 a))))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (exp.f64 (+.f64 a a)))))
(*.f64 b (/.f64 (expm1.f64 a) (+.f64 -1 (exp.f64 (+.f64 a a)))))
(.f64 (/.f64 (/.f64 b 1) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (/.f64 (/.f64 b 1) (-.f64 (pow.f64 (exp.f64 a) 2) 1)) (expm1.f64 a))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (exp.f64 (+.f64 a a)))))
(*.f64 b (/.f64 (expm1.f64 a) (+.f64 -1 (exp.f64 (+.f64 a a)))))
(.f64 (/.f64 (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(.f64 (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (/.f64 b (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))))))
(*.f64 (sqrt.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) (/.f64 (/.f64 b (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (hypot.f64 1 (pow.f64 (exp.f64 a) 3/2))))
(*.f64 (/.f64 (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(.f64 (sqrt.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))))))
(.f64 (sqrt.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))))))
(.f64 (/.f64 (/.f64 b (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(.f64 (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (/.f64 b (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))))))
(/.f64 (/.f64 (*.f64 b (cbrt.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1))) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (/.f64 (/.f64 b (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) b) (.f64 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2)) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1)
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 1/3)
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(neg.f64 (/.f64 b (-.f64 -1 (exp.f64 a))))
(/.f64 (neg.f64 b) (-.f64 -1 (exp.f64 a)))
(/.f64 b (neg.f64 (-.f64 -1 (exp.f64 a))))
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))
(fabs.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))
(log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))

localize5.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.03%	(+.f64 1 (exp.f64 b))
✓	2.34%	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 15 to 9 computations (40% saved)

series24.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	b	@	inf	(log.f64 (+.f64 1 (exp.f64 b)))
11.0ms	b	@	-inf	(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(+.f64 1 (exp.f64 b))
0.0ms	b	@	inf	(+.f64 1 (exp.f64 b))

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`add-sqr-sqrt`
1418×	`*-un-lft-identity`
1318×	`add-cube-cbrt`
1304×	`add-cbrt-cube`
1290×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	153	20
2	1770	20

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 b))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)))))

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1374×	`times-frac`
1146×	`associate-/l*`
738×	`associate-+r+`
660×	`associate-+l+`
648×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1286
1	322	1180
2	1168	1000
3	3683	976

Stop Event

1×	node limit

Counts

62 → 91

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(exp.f64 (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(fma.f64 1 (exp.f64 b) 1)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(fma.f64 b (*.f64 b 1/8) (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 2))
(+.f64 2 (fma.f64 1/6 (pow.f64 b 3) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b)))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 b) 2))) (log1p.f64 (neg.f64 (exp.f64 b))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 b) 2))) (log.f64 (neg.f64 (expm1.f64 b))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 b b)))) (log.f64 (neg.f64 (expm1.f64 b))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(*.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(exp.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(fma.f64 1 (exp.f64 b) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 1/2 (.f64 b b))
✓	0.02%	(+.f64 b (.f64 1/2 (.f64 b b)))
✓	0.03%	(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	5.84%	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Compiler

Compiled 58 to 28 computations (51.7% saved)

series64.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
47.0ms	a	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
13.0ms	a	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
1.0ms	a	@	0	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
0.0ms	b	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
0.0ms	b	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`associate-*r/`
1380×	`associate-*l/`
602×	`associate-+l+`
382×	`associate-+r+`
350×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	299	88
2	4054	88

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
(+.f64 b (.f64 1/2 (.f64 b b)))
(.f64 1/2 (.f64 b b))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (log.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)))) (log.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2)))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 a)) (-.f64 1 (+.f64 1 (fma.f64 1/2 (.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 b b) b))) (-.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (/.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 b b) (+.f64 b (.f64 -1/2 (.f64 b b)))) (-.f64 (/.f64 (.f64 1/4 (pow.f64 b 4)) (+.f64 b (.f64 -1/2 (.f64 b b)))) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 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#<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 b b) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (.f64 b (.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b (.f64 b 1/2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (.f64 b b) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b b) 1/2 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (.f64 b (.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (.f64 b (.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (.f64 b (.f64 b 1/2))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b 1/2) b b)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (.f64 b 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/4 (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 b (.f64 b 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 b (.f64 b 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 b (.f64 b 1/2))))))))

simplify138.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1104×	`associate-+r-`
1028×	`associate--r+`
744×	`associate-+l-`
584×	`fma-def`
528×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	536	11950
1	1437	11330
2	5858	11330

Stop Event

1×	node limit

Counts

248 → 315

Calls

Call 1

Inputs
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b))))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 16 (.f64 -24 (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b)))))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) (.f64 -1/6 (/.f64 (-.f64 (.f64 24 (+.f64 1 (exp.f64 a))) 16) (pow.f64 b 3)))))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
b
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(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a)))))) (+.f64 1 (-.f64 (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3))))
(pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3))
(expm1.f64 (log.f64 (+.f64 2 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(fma.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 1)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) (-.f64 1 b))
(-.f64 (exp.f64 (log1p.f64 b)) (-.f64 1 (.f64 b (.f64 b 1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b))) 1)
(-.f64 (/.f64 (.f64 b b) (+.f64 b (.f64 -1/2 (.f64 b b)))) (/.f64 (.f64 1/4 (pow.f64 b 4)) (+.f64 b (.f64 -1/2 (.f64 b b)))))
(-.f64 (+.f64 b (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b 1/2)) (exp.f64 (log1p.f64 b))) 1)
(.f64 1 (fma.f64 1/2 (.f64 b b) b))
(.f64 b (+.f64 1 (.f64 b 1/2)))
(.f64 (fma.f64 1/2 (.f64 b b) b) 1)
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) b)) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)))
(.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))) (/.f64 1 (+.f64 b (.f64 -1/2 (*.f64 b b)))))
(.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (/.f64 1 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2)))))
(.f64 (+.f64 1 (.f64 b 1/2)) b)
(/.f64 1 (/.f64 (+.f64 b (.f64 -1/2 (.f64 b b))) (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))))
(/.f64 1 (/.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2))) (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))))
(/.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))) (+.f64 b (.f64 -1/2 (.f64 b b))))
(/.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 b b)) (-.f64 (.f64 b (.f64 b 1/2)) b))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) (neg.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (neg.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 1 (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 b b))) (-.f64 (.f64 b (*.f64 b 1/2)) b))
(/.f64 (.f64 1 (neg.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))))) (neg.f64 (+.f64 b (.f64 -1/2 (*.f64 b b)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))) (neg.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))))) (sqrt.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) b)) (sqrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))) (sqrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2) (cbrt.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))))) (cbrt.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2) (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))) (cbrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))) 1) (+.f64 b (.f64 -1/2 (*.f64 b b))))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) 1) (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2))))
(/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 b b)) 1) (-.f64 (.f64 b (*.f64 b 1/2)) b))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) 1) (neg.f64 (+.f64 b (.f64 -1/2 (*.f64 b b)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) 1) (neg.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) b))) (sqrt.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) b))) (sqrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2)) (cbrt.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2)) (cbrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4)))) (/.f64 1 (+.f64 b (.f64 -1/2 (.f64 b b))))) (+.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 1/4 (pow.f64 b 4)) 3)) (/.f64 1 (+.f64 b (.f64 -1/2 (.f64 b b))))) (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4))) (.f64 (.f64 b b) (*.f64 1/4 (pow.f64 b 4))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b b) 3) (.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (/.f64 1 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2))))) (-.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (*.f64 b b) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 b 3) 3) (pow.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) 3)) (/.f64 1 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2))))) (+.f64 (pow.f64 (.f64 b b) 3) (-.f64 (.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 b b) b)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1 b (.f64 b (.f64 b 1/2)))
(fma.f64 1 (.f64 b (.f64 b 1/2)) b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 (*.f64 b b) 1/2 b)
(fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (.f64 b (.f64 b 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (.f64 b (.f64 b 1/2)))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (.f64 b (*.f64 b 1/2))) b)
(fma.f64 (*.f64 b 1/2) b b)
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) 1)
(pow.f64 (.f64 b (.f64 b 1/2)) 1)
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) 3)
(pow.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 b 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b 1/2)))))
(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)))
(expm1.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))
(exp.f64 (log.f64 (.f64 b (.f64 b 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 b (*.f64 b 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 b (.f64 b 1/2))))

Outputs
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(log.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b)))
(log.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 (log.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b))) (/.f64 a (+.f64 2 (fma.f64 (.f64 b 1/2) b b))))
(+.f64 (log.f64 (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))) (/.f64 a (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 (.f64 b 1/2) b b))) (fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (fma.f64 (.f64 b 1/2) b b))) (/.f64 1 (pow.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b)) 2)))) (log.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b)))))
(+.f64 (/.f64 a (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))) (fma.f64 1/2 (.f64 a (.f64 a (+.f64 (/.f64 1 (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))) (/.f64 -1 (pow.f64 (+.f64 2 (.f64 b (fma.f64 b 1/2 1))) 2))))) (log.f64 (+.f64 2 (.f64 b (fma.f64 b 1/2 1))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 (.f64 b 1/2) b b))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 (fma.f64 (.f64 b 1/2) b b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b)) 3)) (/.f64 3 (pow.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b)) 2))))) (fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (fma.f64 (.f64 b 1/2) b b))) (/.f64 1 (pow.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b)) 2)))) (log.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b))))))
(+.f64 (/.f64 a (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))) (+.f64 (/.f64 2 (pow.f64 (+.f64 2 (.f64 b (fma.f64 b 1/2 1))) 3)) (/.f64 -3 (pow.f64 (+.f64 2 (.f64 b (fma.f64 b 1/2 1))) 2))))) (fma.f64 1/2 (.f64 a (.f64 a (+.f64 (/.f64 1 (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))) (/.f64 -1 (pow.f64 (+.f64 2 (.f64 b (fma.f64 b 1/2 1))) 2))))) (log.f64 (+.f64 2 (.f64 b (fma.f64 b 1/2 1)))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b 1/2) b b)))
(log1p.f64 (+.f64 (exp.f64 a) (*.f64 b (fma.f64 b 1/2 1))))
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(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(.f64 b (.f64 b 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b 1/2)))))
(.f64 b (.f64 b 1/2))
(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)))
(cbrt.f64 (*.f64 1/8 (pow.f64 b 6)))
(expm1.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))
(.f64 b (.f64 b 1/2))
(exp.f64 (log.f64 (.f64 b (.f64 b 1/2))))
(.f64 b (.f64 b 1/2))
(exp.f64 (.f64 (log.f64 (.f64 b (*.f64 b 1/2))) 1))
(.f64 b (.f64 b 1/2))
(log1p.f64 (expm1.f64 (.f64 b (.f64 b 1/2))))
(.f64 b (.f64 b 1/2))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.03%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.9%	(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
✓	1.26%	(cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
	8.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 36 to 10 computations (72.2% saved)

series19.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
3.0ms	b	@	0	(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
2.0ms	a	@	0	(cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.0ms	b	@	0	(cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
1.0ms	a	@	inf	(cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`*-commutative`
782×	`unswap-sqr`
526×	`swap-sqr`
454×	`distribute-lft-in`
444×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	243	42
2	2740	42

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs
(cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2)) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2)) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (neg.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (neg.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3)))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) (*.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))))) (#(struct:change #<rule 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simplify118.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

854×	`associate-r`
660×	`associate-l`
550×	`*-commutative`
494×	`fma-def`
292×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	428	12137
1	1283	12137
2	6188	12137

Stop Event

1×

unsound

Counts

135 → 130

Calls

Call 1

Inputs
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/9) (/.f64 a (+.f64 1 (exp.f64 b))))))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/9) (/.f64 a (+.f64 1 (exp.f64 b))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/3) (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/9) (/.f64 a (+.f64 1 (exp.f64 b))))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/6 (-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 5)) 1/9) (/.f64 (-.f64 (.f64 1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 1 (exp.f64 b))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/3) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))))) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/3) (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (.f64 1/3 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (.f64 (pow.f64 b 2) (-.f64 (.f64 1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))))) (+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (.f64 1/3 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (.f64 (pow.f64 b 2) (-.f64 (.f64 1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (.f64 (-.f64 (.f64 1/6 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 5)) 1/9) (/.f64 (-.f64 (.f64 1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 1 (exp.f64 a))))) (.f64 1/27 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3))))) (pow.f64 b 3)))) (+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (exp.f64 b))))
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 3/2))
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(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2)) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2)) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) 1))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1)
(pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2/3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))
(+.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 0)
(+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))
(+.f64 (log.f64 (+.f64 (exp.f64 (.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (neg.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))))
(+.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (neg.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 0 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(+.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) -1)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(-.f64 (log.f64 (+.f64 (exp.f64 (.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (exp.f64 (.f64 a 3)) (pow.f64 (exp.f64 b) 3)))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2) 3))
(*.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1)
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) (.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(.f64 (.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2)) (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 2) 3) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (.f64 (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))
(.f64 (.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4)))
(.f64 (.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4)) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6))) (.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) 3/4))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 3) 1/6))
(/.f64 (-.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (-.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 2)) (-.f64 0 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 (exp.f64 (.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (exp.f64 (.f64 a 3)) (pow.f64 (exp.f64 b) 3)))) (.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))) (+.f64 (log.f64 (+.f64 (exp.f64 (.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)))) (.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) 1) (+.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 1))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 2))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 b) (expm1.f64 a))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))

Outputs
(pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 b)))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/9) (/.f64 a (+.f64 1 (exp.f64 b))))))
(+.f64 (.f64 (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) 1/18))) (/.f64 a (+.f64 1 (exp.f64 b)))) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/9) (/.f64 a (+.f64 1 (exp.f64 b))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 2)) 1/3) (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))))
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(.f64 (.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4)) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4)))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 3/4) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 1/6) 3/2)))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6))) (.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 1/6))))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))) 2) 3/4))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 3) 1/6))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(/.f64 (-.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (-.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) (.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))) (.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))) (-.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (-.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 2)) (-.f64 0 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 (exp.f64 (.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (exp.f64 (.f64 a 3)) (pow.f64 (exp.f64 b) 3)))) (.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))) (+.f64 (log.f64 (+.f64 (exp.f64 (.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))) (+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)))) (.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))) 1) (+.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))))))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 2))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 b) (expm1.f64 a))))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 3))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a)))
(cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))

eval434.0ms (2.5%)

Compiler: Compiled 28342 to 16891 computations (40.4% saved)

prune211.0ms (1.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	987	12	999
Fresh	3	1	4
Picked	1	0	1
Done	4	1	5
Total	995	14	1009

Error

0.95%

Counts

1009 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	29.97%	(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)))))
▶	48.83%	(/.f64 b (+.f64 2 (expm1.f64 a)))
	49.67%	(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
	49.07%	(+.f64 (*.f64 1/2 b) (log.f64 2))
	3.09%	(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))))
▶	3.08%	(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b)))
	50.57%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
▶	48.53%	(log1p.f64 (exp.f64 b))
✓	48.65%	(log1p.f64 (exp.f64 a))
	49.09%	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
	48.54%	(log.f64 (+.f64 2 (expm1.f64 b)))
	49.33%	(log.f64 (+.f64 2 b))
▶	49.97%	(log.f64 2)
▶	28.13%	(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))

Compiler

Compiled 407 to 292 computations (28.3% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4%	(/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2))
✓	0.43%	(*.f64 (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
✓	0.81%	(pow.f64 (cbrt.f64 b) 2)
✓	1.02%	(cbrt.f64 b)

Compiler

Compiled 73 to 40 computations (45.2% saved)

series11.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(*.f64 (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
2.0ms	a	@	inf	(/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2))
1.0ms	a	@	inf	(*.f64 (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
1.0ms	b	@	0	(*.f64 (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
1.0ms	b	@	-inf	(/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2))

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1328×	`associate-/l*`
978×	`associate-/r/`
584×	`distribute-rgt-in`
542×	`distribute-lft-in`
416×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	292	66
2	3720	66

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

Inputs
(cbrt.f64 b)
(pow.f64 (cbrt.f64 b) 2)
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
(/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b 1/6) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 b (cbrt.f64 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 b) 1/3) (pow.f64 (sqrt.f64 b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 b 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 b)))))))
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(exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 b) 2)) (hypot.f64 1 (sqrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 (.f64 b (cbrt.f64 b)))) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 b)) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (.f64 b 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b)) (sqrt.f64 -1)) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (.f64 b (cbrt.f64 b)))) -1) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (pow.f64 (cbrt.f64 b) -2)) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (pow.f64 (cbrt.f64 b) -2)) (-.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (+.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (pow.f64 (cbrt.f64 b) -2)) (-.f64 1 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (.f64 (exp.f64 a) (expm1.f64 a))))) (-.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (pow.f64 (cbrt.f64 b) -2)) (+.f64 1 (pow.f64 (.f64 (exp.f64 a) (expm1.f64 a)) 3))) (+.f64 1 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (-.f64 (.f64 (exp.f64 a) (expm1.f64 a)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a))))) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a)))))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (neg.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b)))) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (.f64 b (cbrt.f64 b)))))) (cbrt.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 1 (exp.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (.f64 b (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (.f64 (log.f64 b) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (.f64 (log.f64 b) 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))))))))

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

992×	`times-frac`
760×	`distribute-lft-neg-in`
682×	`distribute-rgt-neg-in`
654×	`associate-/r*`
638×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	5704
1	1028	5484
2	5768	5434

Stop Event

1×	node limit

Counts

194 → 234

Calls

Call 1

Inputs
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 2 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) a) (.f64 2 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3)))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) a) (+.f64 (.f64 2 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3)) (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2)))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) a) (+.f64 (.f64 2 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 3))))))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 b))) 1)
(*.f64 (cbrt.f64 b) 1)
(*.f64 1 (cbrt.f64 b))
(*.f64 (pow.f64 b 1/6) (pow.f64 b 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (cbrt.f64 (cbrt.f64 b)))
(*.f64 (cbrt.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 b (cbrt.f64 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 b))
(*.f64 (pow.f64 (sqrt.f64 b) 1/3) (pow.f64 (sqrt.f64 b) 1/3))
(pow.f64 b 1/3)
(pow.f64 (cbrt.f64 b) 1)
(pow.f64 (pow.f64 (cbrt.f64 b) 2) 1/2)
(pow.f64 (pow.f64 b 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 b)) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 b) 2))
(fabs.f64 (cbrt.f64 b))
(log.f64 (exp.f64 (cbrt.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 b))))
(expm1.f64 (log1p.f64 (cbrt.f64 b)))
(exp.f64 (log.f64 (cbrt.f64 b)))
(exp.f64 (*.f64 (log.f64 b) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 b)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 b) 2))) 1)
(*.f64 (cbrt.f64 b) (cbrt.f64 b))
(*.f64 (pow.f64 (cbrt.f64 b) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 b) 2))
(*.f64 (sqrt.f64 b) (pow.f64 b 1/6))
(.f64 (pow.f64 b 1/6) (.f64 (pow.f64 b 1/6) (cbrt.f64 b)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (cbrt.f64 (.f64 b (cbrt.f64 b))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (.f64 (cbrt.f64 (cbrt.f64 b)) (cbrt.f64 b)))
(.f64 (cbrt.f64 (.f64 b (cbrt.f64 b))) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))
(*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 b) 2)))
(.f64 (.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)) (cbrt.f64 (cbrt.f64 b)))
(*.f64 (/.f64 (cbrt.f64 b) 1) (cbrt.f64 b))
(*.f64 (neg.f64 (cbrt.f64 b)) (neg.f64 (cbrt.f64 b)))
(.f64 (neg.f64 (cbrt.f64 (.f64 b (cbrt.f64 b)))) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 b (cbrt.f64 b))) 1) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 b))) (cbrt.f64 b))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (.f64 b (cbrt.f64 b))))) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))
(/.f64 (cbrt.f64 b) (/.f64 1 (cbrt.f64 b)))
(/.f64 (pow.f64 (cbrt.f64 b) 2) 1)
(/.f64 1 (pow.f64 (cbrt.f64 b) -2))
(/.f64 (sqrt.f64 b) (/.f64 1 (pow.f64 b 1/6)))
(/.f64 (pow.f64 b 1/6) (/.f64 1 (*.f64 (pow.f64 b 1/6) (cbrt.f64 b))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (/.f64 1 (cbrt.f64 (*.f64 b (cbrt.f64 b)))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (/.f64 1 (*.f64 (cbrt.f64 (cbrt.f64 b)) (cbrt.f64 b))))
(/.f64 (cbrt.f64 (*.f64 b (cbrt.f64 b))) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)))
(/.f64 (*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 b))))
(neg.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)))
(sqrt.f64 (*.f64 b (cbrt.f64 b)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 b) 2))))
(cbrt.f64 (*.f64 b b))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 b) 2)))
(exp.f64 (*.f64 (log.f64 b) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 b) 2/3) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 b) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b))) 1)
(/.f64 (cbrt.f64 b) (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 (pow.f64 b 1/6) (pow.f64 (cbrt.f64 b) 2))) (pow.f64 b 1/6)))
(/.f64 1 (/.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) (cbrt.f64 (cbrt.f64 b))) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)))
(/.f64 (pow.f64 b 1/6) (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 (pow.f64 b 1/6) (pow.f64 (cbrt.f64 b) 2))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) (cbrt.f64 (cbrt.f64 b))))
(/.f64 (cbrt.f64 (cbrt.f64 b)) (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)))
(/.f64 (cbrt.f64 (cbrt.f64 b)) (/.f64 (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 (pow.f64 b 1/6) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 (pow.f64 b 1/6))))
(/.f64 (cbrt.f64 (cbrt.f64 b)) (/.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) (cbrt.f64 (cbrt.f64 b))) (cbrt.f64 (cbrt.f64 b))))
(/.f64 -1 (/.f64 (*.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a))) (cbrt.f64 b)))
(/.f64 (sqrt.f64 (pow.f64 b 1/6)) (/.f64 (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 (pow.f64 b 1/6) (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (pow.f64 b 1/6))))
(/.f64 (sqrt.f64 (cbrt.f64 (.f64 b (cbrt.f64 b)))) (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)) (/.f64 (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 (pow.f64 b 1/6) (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 b)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)) (/.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) (cbrt.f64 (cbrt.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))))
(/.f64 (cbrt.f64 (cbrt.f64 (.f64 b (cbrt.f64 b)))) (/.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) (cbrt.f64 (cbrt.f64 b))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))) (/.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) (cbrt.f64 (cbrt.f64 b))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))))
(/.f64 (.f64 (cbrt.f64 b) -1) (.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a))))
(/.f64 (/.f64 (cbrt.f64 b) 1) (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)))
(/.f64 (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 b) -2))
(/.f64 (/.f64 (cbrt.f64 b) (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (.f64 b (cbrt.f64 b))))) (cbrt.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b)))
(/.f64 (neg.f64 (cbrt.f64 b)) (*.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a))))
(/.f64 (pow.f64 1 1/3) (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 (sqrt.f64 b) 1/3) (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) (pow.f64 (sqrt.f64 b) 1/3)))
(pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b)) 2)
(pow.f64 (/.f64 (cbrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b) 3))
(cbrt.f64 (*.f64 b (pow.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 1 (exp.f64 a))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 1 (exp.f64 a))) 3) b))
(cbrt.f64 (/.f64 b (pow.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b)))
(exp.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b)))
(+.f64 (pow.f64 (cbrt.f64 b) -2) (*.f64 (pow.f64 (cbrt.f64 b) -2) (exp.f64 a)))
(+.f64 (pow.f64 (cbrt.f64 b) -2) (*.f64 (exp.f64 a) (pow.f64 (cbrt.f64 b) -2)))
(+.f64 (*.f64 (pow.f64 (cbrt.f64 b) -2) (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))
(+.f64 (*.f64 (exp.f64 a) (pow.f64 (cbrt.f64 b) -2)) (pow.f64 (cbrt.f64 b) -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)))) 1)
(.f64 1 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))
(.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) 1)
(.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 b) -2)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b)) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 b) -2)))
(.f64 (cbrt.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b (cbrt.f64 b)))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (.f64 b (cbrt.f64 b)))) (cbrt.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))))
(*.f64 (pow.f64 (cbrt.f64 b) -2) (+.f64 1 (exp.f64 a)))
(.f64 -1 (.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a))))
(*.f64 (-.f64 -1 (exp.f64 a)) (neg.f64 (pow.f64 (cbrt.f64 b) -2)))
(*.f64 (-.f64 -1 (exp.f64 a)) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 b) 2))))
(*.f64 (/.f64 1 (cbrt.f64 b)) (/.f64 (+.f64 1 (exp.f64 a)) (cbrt.f64 b)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 b (cbrt.f64 b)))) (/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)))
(*.f64 (neg.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b))) (neg.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b))))
(.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (.f64 b (cbrt.f64 b))))) (neg.f64 (cbrt.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)))))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 b) 2))) (-.f64 -1 (exp.f64 a)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 b) 2)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 b) 2)) (hypot.f64 1 (sqrt.f64 (exp.f64 a))))
(.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 (.f64 b (cbrt.f64 b)))) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 b)) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 b) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (.f64 b (cbrt.f64 b)))) (cbrt.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))))
(.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (.f64 b (cbrt.f64 b)))) 1) (cbrt.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b)))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (.f64 b (cbrt.f64 b)))))) (cbrt.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))))
(.f64 (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b)) (sqrt.f64 -1)) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a)))))
(.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (.f64 b (cbrt.f64 b)))) -1) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a)))))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (pow.f64 (cbrt.f64 b) -2)) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (+.f64 1 (exp.f64 a)))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (pow.f64 (cbrt.f64 b) -2)) (-.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (+.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 2))))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (pow.f64 (cbrt.f64 b) -2)) (-.f64 1 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (.f64 (exp.f64 a) (expm1.f64 a))))) (-.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (pow.f64 (cbrt.f64 b) -2)) (+.f64 1 (pow.f64 (.f64 (exp.f64 a) (expm1.f64 a)) 3))) (+.f64 1 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (-.f64 (.f64 (exp.f64 a) (expm1.f64 a)) 1))))
(.f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a))))) (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a)))))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a)))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b)))) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b)))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (.f64 b (cbrt.f64 b)))))) (cbrt.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))))
(pow.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) 1)
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 1 (exp.f64 a))) -1)
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b)) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) 3) 1/3)
(neg.f64 (*.f64 (pow.f64 (cbrt.f64 b) -2) (-.f64 -1 (exp.f64 a))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b (cbrt.f64 b))))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 b) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (*.f64 b b)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (log.f64 b) 2/3)))
(exp.f64 (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (.f64 (log.f64 b) 2/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))))

Outputs
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (.f64 (.f64 -1/4 a) b))
(.f64 b (+.f64 1/2 (.f64 -1/4 a)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 (*.f64 -1/4 a) b)))
(fma.f64 1/2 b (fma.f64 -1/4 (.f64 b a) (.f64 (*.f64 0 a) a)))
(fma.f64 1/2 b (.f64 a (+.f64 (.f64 -1/4 b) (*.f64 0 a))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 (.f64 -1/4 a) b))))
(fma.f64 1/2 b (-.f64 (fma.f64 -1/4 (.f64 b a) (.f64 (.f64 0 a) a)) (.f64 (pow.f64 a 3) (+.f64 (*.f64 b -1/48) 0))))
(fma.f64 1/2 b (-.f64 (.f64 a (+.f64 (.f64 -1/4 b) (.f64 0 a))) (.f64 (pow.f64 a 3) (*.f64 b -1/48))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 2 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3))
(.f64 2 (cbrt.f64 (/.f64 1 (.f64 b b))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) a) (.f64 2 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3)))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) a (.f64 2 (cbrt.f64 (/.f64 1 (*.f64 b b)))))
(.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (+.f64 2 a))
(.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (+.f64 a 2))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) a) (+.f64 (.f64 2 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3)) (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2)))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) a (fma.f64 2 (cbrt.f64 (/.f64 1 (.f64 b b))) (.f64 1/2 (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 b b)))))))
(+.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (+.f64 2 a)) (.f64 (.f64 a a) (.f64 1/2 (cbrt.f64 (/.f64 1 (.f64 b b))))))
(.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (+.f64 (+.f64 a 2) (.f64 (.f64 a a) 1/2)))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) a) (+.f64 (.f64 2 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 2))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (pow.f64 a 3))))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) a (fma.f64 2 (cbrt.f64 (/.f64 1 (.f64 b b))) (fma.f64 1/2 (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 b b)))) (.f64 (.f64 1/6 (cbrt.f64 (/.f64 1 (.f64 b b)))) (pow.f64 a 3)))))
(+.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (+.f64 2 a)) (fma.f64 1/2 (.f64 a (.f64 a (cbrt.f64 (/.f64 1 (.f64 b b))))) (.f64 (pow.f64 a 3) (.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) 1/6))))
(+.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (+.f64 a 2)) (.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (+.f64 (.f64 1/2 (.f64 a a)) (*.f64 1/6 (pow.f64 a 3)))))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3))
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(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2)) 3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (*.f64 b b)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (log.f64 b) 2/3)))
(/.f64 (exp.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 b) 2))
(exp.f64 (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (.f64 (log.f64 b) 2/3)) 1))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (log.f64 b) 2/3)))
(/.f64 (exp.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 b) 2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) -2))

localize3.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 2 (expm1.f64 a))
✓	0.01%	(/.f64 b (+.f64 2 (expm1.f64 a)))

Compiler

Compiled 17 to 9 computations (47.1% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/.f64 b (+.f64 2 (expm1.f64 a)))
0.0ms	b	@	inf	(/.f64 b (+.f64 2 (expm1.f64 a)))
0.0ms	a	@	-inf	(/.f64 b (+.f64 2 (expm1.f64 a)))
0.0ms	a	@	inf	(/.f64 b (+.f64 2 (expm1.f64 a)))
0.0ms	b	@	-inf	(/.f64 b (+.f64 2 (expm1.f64 a)))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`associate-*r/`
860×	`*-commutative`
756×	`associate-/r*`
674×	`associate-*l/`
572×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	191	28
2	2476	28

Stop Event

1×	node limit

Counts

2 → 173

Calls

Call 1

Inputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 2 (expm1.f64 a))

Outputs

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simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

702×	`distribute-lft-neg-in`
622×	`associate-r`
594×	`+-commutative`
592×	`associate-+r+`
532×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	452	6825
1	1299	6453
2	5639	6419

Stop Event

1×	node limit

Counts

209 → 252

Calls

Call 1

Inputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
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(/.f64 b (+.f64 1 (exp.f64 a)))
2
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(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (/.f64 (-.f64 2 (expm1.f64 a)) (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (/.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (/.f64 (-.f64 2 (expm1.f64 a)) (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (neg.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (+.f64 -8 (neg.f64 (pow.f64 (expm1.f64 a) 3))) (+.f64 -4 (neg.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (-.f64 64 (.f64 (pow.f64 (expm1.f64 a) 3) (pow.f64 (expm1.f64 a) 3))) (.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (-.f64 8 (pow.f64 (expm1.f64 a) 3))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 a) 2) 4) (+.f64 (exp.f64 a) -3))
(/.f64 (-.f64 (pow.f64 (expm1.f64 a) 2) 4) (*.f64 1 (+.f64 (exp.f64 a) -3)))
(/.f64 (-.f64 16 (.f64 (expm1.f64 a) (pow.f64 (expm1.f64 a) 3))) (.f64 (-.f64 2 (expm1.f64 a)) (+.f64 (pow.f64 (expm1.f64 a) 2) 4)))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (expm1.f64 a) 3) 3)) (.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (+.f64 64 (*.f64 (pow.f64 (expm1.f64 a) 3) (-.f64 (pow.f64 (expm1.f64 a) 3) 8)))))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (expm1.f64 a) 2) 3)) (.f64 (-.f64 2 (expm1.f64 a)) (+.f64 16 (.f64 (pow.f64 (expm1.f64 a) 2) (+.f64 (pow.f64 (expm1.f64 a) 2) 4)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (expm1.f64 a) 2) 4)) (+.f64 (exp.f64 a) -3))
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (sqrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (sqrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2) (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2) (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (*.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 1) (neg.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (.f64 (+.f64 -8 (neg.f64 (pow.f64 (expm1.f64 a) 3))) 1) (+.f64 -4 (neg.f64 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (expm1.f64 a) 2) 4) 1) (+.f64 (exp.f64 a) -3))
(/.f64 (.f64 (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (.f64 (-.f64 16 (.f64 (expm1.f64 a) (pow.f64 (expm1.f64 a) 3))) (/.f64 1 (-.f64 2 (expm1.f64 a)))) (+.f64 (pow.f64 (expm1.f64 a) 2) 4))
(/.f64 (.f64 (-.f64 64 (pow.f64 (pow.f64 (expm1.f64 a) 2) 3)) (/.f64 1 (-.f64 2 (expm1.f64 a)))) (+.f64 16 (.f64 (pow.f64 (expm1.f64 a) 2) (+.f64 (pow.f64 (expm1.f64 a) 2) 4))))
(/.f64 (.f64 (-.f64 64 (.f64 (pow.f64 (expm1.f64 a) 3) (pow.f64 (expm1.f64 a) 3))) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (-.f64 8 (pow.f64 (expm1.f64 a) 3)))
(/.f64 (.f64 (+.f64 512 (pow.f64 (pow.f64 (expm1.f64 a) 3) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (+.f64 64 (*.f64 (pow.f64 (expm1.f64 a) 3) (-.f64 (pow.f64 (expm1.f64 a) 3) 8))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) 1) (-.f64 2 (expm1.f64 a)))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (sqrt.f64 (-.f64 2 (expm1.f64 a)))) (sqrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) 1) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (sqrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (sqrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (.f64 (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))) (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))) (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (-.f64 2 (expm1.f64 a)))
(/.f64 (neg.f64 (+.f64 -8 (neg.f64 (pow.f64 (expm1.f64 a) 3)))) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(pow.f64 (+.f64 2 (expm1.f64 a)) 1)
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) 2)
(pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 3)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 3) 1/3)
(neg.f64 (-.f64 -2 (expm1.f64 a)))
(neg.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (neg.f64 (-.f64 2 (expm1.f64 a)))))
(neg.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 -4 (neg.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))))
(sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2))
(log.f64 (exp.f64 (+.f64 2 (expm1.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (expm1.f64 a)))))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 3))
(expm1.f64 (log.f64 (+.f64 3 (expm1.f64 a))))
(exp.f64 (log.f64 (+.f64 2 (expm1.f64 a))))
(log1p.f64 (expm1.f64 (+.f64 2 (expm1.f64 a))))
(fma.f64 1 (expm1.f64 a) 2)
(fma.f64 (sqrt.f64 (expm1.f64 a)) (sqrt.f64 (expm1.f64 a)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2) (cbrt.f64 (expm1.f64 a)) 2)

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(*.f64 b 1/2)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (.f64 -1/4 (.f64 b a)))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 -1/4 (*.f64 b a))))
(fma.f64 b 1/2 (fma.f64 -1/4 (.f64 b a) (.f64 a (*.f64 a 0))))
(fma.f64 b 1/2 (.f64 a (+.f64 (.f64 -1/4 b) (*.f64 0 a))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 -1/4 (.f64 b a)))))
(fma.f64 b 1/2 (-.f64 (fma.f64 -1/4 (.f64 b a) (.f64 a (.f64 a 0))) (.f64 (pow.f64 a 3) (+.f64 (*.f64 b -1/48) 0))))
(-.f64 (fma.f64 b 1/2 (.f64 a (+.f64 (.f64 -1/4 b) (.f64 0 a)))) (.f64 (pow.f64 a 3) (*.f64 b -1/48)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 a a) (+.f64 (+.f64 a 2) (.f64 (pow.f64 a 3) 1/6)))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (neg.f64 (expm1.f64 a))))
(/.f64 (*.f64 b (-.f64 2 (expm1.f64 a))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 b (/.f64 (+.f64 -2 (expm1.f64 a)) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 b (/.f64 (+.f64 (expm1.f64 a) -2) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (exp.f64 a))) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 1))
(/.f64 (*.f64 b (-.f64 2 (expm1.f64 a))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 b (/.f64 (+.f64 -2 (expm1.f64 a)) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 b (/.f64 (+.f64 (expm1.f64 a) -2) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(+.f64 (.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4) (.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(+.f64 (.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4))
(.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(+.f64 (.f64 2 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (.f64 (neg.f64 (expm1.f64 a)) (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))))
(/.f64 (*.f64 b (-.f64 2 (expm1.f64 a))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 b (/.f64 (+.f64 -2 (expm1.f64 a)) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 b (/.f64 (+.f64 (expm1.f64 a) -2) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(+.f64 (.f64 (-.f64 2 (exp.f64 a)) (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (.f64 1 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2)))))
(/.f64 (*.f64 b (-.f64 2 (expm1.f64 a))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 b (/.f64 (+.f64 -2 (expm1.f64 a)) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 b (/.f64 (+.f64 (expm1.f64 a) -2) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(+.f64 (.f64 4 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)) (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))))
(.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(+.f64 (.f64 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)) (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (*.f64 4 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3)))))
(.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) 1)
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1)
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (-.f64 2 (expm1.f64 a)) (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))))
(/.f64 (*.f64 b (-.f64 2 (expm1.f64 a))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(*.f64 b (/.f64 (+.f64 -2 (expm1.f64 a)) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 b (/.f64 (+.f64 (expm1.f64 a) -2) (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(*.f64 (/.f64 1 (+.f64 2 (expm1.f64 a))) b)
(/.f64 b (+.f64 1 (exp.f64 a)))
(.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))))
(.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(*.f64 (neg.f64 b) (/.f64 1 (-.f64 -2 (expm1.f64 a))))
(/.f64 (neg.f64 b) (-.f64 -2 (expm1.f64 a)))
(*.f64 (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))) (sqrt.f64 b))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))) (/.f64 (sqrt.f64 b) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))) (pow.f64 (cbrt.f64 b) 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))) (/.f64 (pow.f64 (cbrt.f64 b) 2) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
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(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (/.f64 (cbrt.f64 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))) (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (/.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))
(/.f64 (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (/.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (.f64 (-.f64 16 (.f64 (expm1.f64 a) (pow.f64 (expm1.f64 a) 3))) (/.f64 1 (-.f64 2 (expm1.f64 a)))) (+.f64 (pow.f64 (expm1.f64 a) 2) 4))
(/.f64 (-.f64 16 (.f64 (expm1.f64 a) (pow.f64 (expm1.f64 a) 3))) (.f64 (-.f64 2 (expm1.f64 a)) (+.f64 4 (pow.f64 (expm1.f64 a) 2))))
(/.f64 (-.f64 16 (pow.f64 (expm1.f64 a) 4)) (*.f64 (-.f64 2 (expm1.f64 a)) (fma.f64 (expm1.f64 a) (expm1.f64 a) 4)))
(/.f64 (.f64 (-.f64 64 (pow.f64 (pow.f64 (expm1.f64 a) 2) 3)) (/.f64 1 (-.f64 2 (expm1.f64 a)))) (+.f64 16 (.f64 (pow.f64 (expm1.f64 a) 2) (+.f64 (pow.f64 (expm1.f64 a) 2) 4))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (pow.f64 (expm1.f64 a) 2) 3)) (-.f64 2 (expm1.f64 a))) (+.f64 16 (*.f64 (pow.f64 (expm1.f64 a) 2) (+.f64 4 (pow.f64 (expm1.f64 a) 2)))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (expm1.f64 a) 6)) (-.f64 2 (expm1.f64 a))) (fma.f64 (pow.f64 (expm1.f64 a) 2) (fma.f64 (expm1.f64 a) (expm1.f64 a) 4) 16))
(/.f64 (.f64 (-.f64 64 (.f64 (pow.f64 (expm1.f64 a) 3) (pow.f64 (expm1.f64 a) 3))) (/.f64 1 (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (-.f64 8 (pow.f64 (expm1.f64 a) 3)))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (expm1.f64 a) 6)) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))) (-.f64 8 (pow.f64 (expm1.f64 a) 3)))
(/.f64 (-.f64 64 (pow.f64 (expm1.f64 a) 6)) (*.f64 (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4) (-.f64 8 (pow.f64 (expm1.f64 a) 3))))
(/.f64 (.f64 (+.f64 512 (pow.f64 (pow.f64 (expm1.f64 a) 3) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (+.f64 64 (*.f64 (pow.f64 (expm1.f64 a) 3) (-.f64 (pow.f64 (expm1.f64 a) 3) 8))))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (expm1.f64 a) 3) 3)) (.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (+.f64 64 (*.f64 (pow.f64 (expm1.f64 a) 3) (+.f64 (pow.f64 (expm1.f64 a) 3) -8)))))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (expm1.f64 a) 3) 3)) (*.f64 (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4) (fma.f64 (pow.f64 (expm1.f64 a) 3) (+.f64 (pow.f64 (expm1.f64 a) 3) -8) 64)))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) 1) (-.f64 2 (expm1.f64 a)))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (sqrt.f64 (-.f64 2 (expm1.f64 a)))) (sqrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (*.f64 (cbrt.f64 (-.f64 2 (expm1.f64 a))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))) (cbrt.f64 (-.f64 2 (expm1.f64 a))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) 1) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (sqrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))) (sqrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (.f64 (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))) (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))) (cbrt.f64 (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(/.f64 (neg.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (-.f64 2 (expm1.f64 a)))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(/.f64 (neg.f64 (+.f64 -8 (neg.f64 (pow.f64 (expm1.f64 a) 3)))) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4))
(pow.f64 (+.f64 2 (expm1.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) 2)
(+.f64 1 (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 3)
(+.f64 1 (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 3) 1/3)
(+.f64 1 (exp.f64 a))
(neg.f64 (-.f64 -2 (expm1.f64 a)))
(+.f64 1 (exp.f64 a))
(neg.f64 (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (neg.f64 (-.f64 2 (expm1.f64 a)))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a)))
(neg.f64 (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (+.f64 -4 (neg.f64 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))))
(/.f64 (-.f64 -8 (pow.f64 (expm1.f64 a) 3)) (-.f64 -4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 (-.f64 -8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (neg.f64 (expm1.f64 a)) (+.f64 (exp.f64 a) -3) -4))
(/.f64 (-.f64 -8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (-.f64 2 (expm1.f64 a)) -4))
(sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2))
(fabs.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (exp.f64 (+.f64 2 (expm1.f64 a))))
(+.f64 1 (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (expm1.f64 a)))))
(+.f64 1 (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 3))
(+.f64 1 (exp.f64 a))
(expm1.f64 (log.f64 (+.f64 3 (expm1.f64 a))))
(+.f64 1 (exp.f64 a))
(exp.f64 (log.f64 (+.f64 2 (expm1.f64 a))))
(+.f64 1 (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 2 (expm1.f64 a))))
(+.f64 1 (exp.f64 a))
(fma.f64 1 (expm1.f64 a) 2)
(+.f64 1 (exp.f64 a))
(fma.f64 (sqrt.f64 (expm1.f64 a)) (sqrt.f64 (expm1.f64 a)) 2)
(+.f64 1 (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2) (cbrt.f64 (expm1.f64 a)) 2)
(+.f64 1 (exp.f64 a))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.29%	(log1p.f64 (exp.f64 b))

Compiler

Compiled 8 to 4 computations (50% saved)

series11.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	b	@	inf	(log1p.f64 (exp.f64 b))
0.0ms	b	@	0	(log1p.f64 (exp.f64 b))
0.0ms	b	@	-inf	(log1p.f64 (exp.f64 b))

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`associate-r`
840×	`add-sqr-sqrt`
830×	`*-un-lft-identity`
784×	`pow1`
766×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	95	9
2	1063	9

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))))))

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1254×	`associate-r`
1122×	`associate-l`
822×	`associate-+l+`
800×	`associate-+r+`
796×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	536
1	176	532
2	593	532
3	3646	502
4	6980	502

Stop Event

1×	node limit

Counts

36 → 43

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 (exp.f64 b) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 5/2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))))
(.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) 4))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 b) 1))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	0.02%	(+.f64 1 (exp.f64 a))
✓	0.07%	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
✓	1.99%	(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))

Compiler

Compiled 53 to 25 computations (52.8% saved)

series33.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	a	@	-inf	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
14.0ms	a	@	inf	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
1.0ms	a	@	0	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
1.0ms	b	@	0	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
1.0ms	b	@	inf	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`associate-*r/`
1136×	`*-commutative`
1000×	`associate-*l/`
916×	`associate-/r*`
672×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	256	66
2	3244	66

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 0) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (log.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 (log.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (-.f64 1 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (log.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (log.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (/.f64 (-.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (log1p.f64 (exp.f64 a)) 1)))))))

simplify125.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1284×	`associate-+r+`
920×	`associate-/l/`
898×	`+-commutative`
826×	`associate-/r/`
382×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	418	10391
1	1163	9831
2	4745	9807

Stop Event

1×	node limit

Counts

159 → 238

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (log.f64 (+.f64 (.f64 1/2 b) (log.f64 2))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (log.f64 2))))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 -6 (/.f64 (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))) (+.f64 (.f64 1/2 b) (log.f64 2)))) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 3) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 3))) (.f64 -6 (/.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (log.f64 2))))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (log.f64 (+.f64 1 (exp.f64 a))))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (/.f64 b (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a))))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3)))) (+.f64 (/.f64 b (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a)))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (log.f64 (+.f64 1 (exp.f64 a)))) b)))
(+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (pow.f64 b 2))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3)) (pow.f64 b 3))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (pow.f64 b 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (log.f64 (+.f64 1 (exp.f64 a)))) b)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (pow.f64 b 2))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3)) (pow.f64 b 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (pow.f64 b 2)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 0 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 0) (log1p.f64 (exp.f64 a)))
(+.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(+.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (log.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 (log.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)
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(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 0)
(+.f64 0 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) 1)
(*.f64 1 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (log1p.f64 (exp.f64 a)) 1)))

Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (-.f64 (fma.f64 (.f64 a a) 1/8 (log.f64 2)) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))))
(-.f64 (fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2)))) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))
(log.f64 (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (log.f64 (+.f64 (.f64 1/2 b) (log.f64 2))))
(fma.f64 a (-.f64 (/.f64 1/2 (fma.f64 1/2 b (log.f64 2))) (/.f64 (*.f64 b 1/4) (fma.f64 1/2 b (log.f64 2)))) (log.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 a (+.f64 (/.f64 1/2 (fma.f64 1/2 b (log.f64 2))) (/.f64 (*.f64 b -1/4) (fma.f64 1/2 b (log.f64 2)))) (log.f64 (fma.f64 1/2 b (log.f64 2))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (log.f64 2))))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(fma.f64 a (-.f64 (/.f64 1/2 (fma.f64 1/2 b (log.f64 2))) (/.f64 (.f64 b 1/4) (fma.f64 1/2 b (log.f64 2)))) (fma.f64 1/2 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (.f64 -1/4 b)) 2) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) (.f64 2 (/.f64 (-.f64 1/8 (.f64 b 0)) (fma.f64 1/2 b (log.f64 2)))))) (log.f64 (fma.f64 1/2 b (log.f64 2)))))
(fma.f64 a (+.f64 (/.f64 1/2 (fma.f64 1/2 b (log.f64 2))) (/.f64 (.f64 b -1/4) (fma.f64 1/2 b (log.f64 2)))) (fma.f64 1/2 (.f64 a (.f64 a (-.f64 (/.f64 1/4 (fma.f64 1/2 b (log.f64 2))) (/.f64 (pow.f64 (+.f64 1/2 (.f64 b -1/4)) 2) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))))) (log.f64 (fma.f64 1/2 b (log.f64 2)))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 -6 (/.f64 (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))) (+.f64 (.f64 1/2 b) (log.f64 2)))) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 3) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 3))) (.f64 -6 (/.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (log.f64 2))))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))))
(fma.f64 a (-.f64 (/.f64 1/2 (fma.f64 1/2 b (log.f64 2))) (/.f64 (.f64 b 1/4) (fma.f64 1/2 b (log.f64 2)))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (fma.f64 -6 (/.f64 (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2))) (fma.f64 1/2 b (log.f64 2))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 1/2 (.f64 -1/4 b)) 3) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3)) (.f64 -6 (/.f64 (+.f64 1/2 (.f64 -1/4 b)) (/.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2) (-.f64 1/8 (.f64 b 0)))))))) (fma.f64 1/2 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (.f64 -1/4 b)) 2) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) (.f64 2 (/.f64 (-.f64 1/8 (*.f64 b 0)) (fma.f64 1/2 b (log.f64 2)))))) (log.f64 (fma.f64 1/2 b (log.f64 2))))))
(fma.f64 a (+.f64 (/.f64 1/2 (fma.f64 1/2 b (log.f64 2))) (/.f64 (.f64 b -1/4) (fma.f64 1/2 b (log.f64 2)))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (fma.f64 -6 (/.f64 (+.f64 0 (.f64 b -1/48)) (fma.f64 1/2 b (log.f64 2))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 1/2 (.f64 b -1/4)) 3) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3)) (/.f64 (.f64 -3/4 (+.f64 1/2 (.f64 b -1/4))) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))))) (fma.f64 1/2 (.f64 a (.f64 a (-.f64 (/.f64 1/4 (fma.f64 1/2 b (log.f64 2))) (/.f64 (pow.f64 (+.f64 1/2 (*.f64 b -1/4)) 2) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))))) (log.f64 (fma.f64 1/2 b (log.f64 2))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
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(fabs.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
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(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
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(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
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(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 0)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 0 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (log.f64 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (log.f64 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) 1)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 1 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1/3)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 2))
(fabs.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (log1p.f64 (exp.f64 a)) 1)))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) -1)))
(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)))
(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))

eval433.0ms (2.5%)

Compiler: Compiled 27098 to 15679 computations (42.1% saved)

prune227.0ms (1.3%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1046	6	1052
Fresh	2	6	8
Picked	1	0	1
Done	1	4	5
Total	1050	16	1066

Error

0.95%

Counts

1066 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	95.02%	(/.f64 b (+.f64 a 2))
✓	48.83%	(/.f64 b (+.f64 2 (expm1.f64 a)))
▶	88.19%	(/.f64 b 2)
	49.67%	(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
	49.07%	(+.f64 (*.f64 1/2 b) (log.f64 2))
	43.75%	(+.f64 (log1p.f64 (exp.f64 a)) (.f64 (/.f64 1 (.f64 2 (cbrt.f64 (/.f64 1 (*.f64 b b))))) (cbrt.f64 b)))
▶	41.02%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b))))
	50.57%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
✓	48.53%	(log1p.f64 (exp.f64 b))
✓	48.65%	(log1p.f64 (exp.f64 a))
▶	49.09%	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
▶	48.54%	(log.f64 (+.f64 2 (expm1.f64 b)))
▶	49.33%	(log.f64 (+.f64 2 b))
✓	49.97%	(log.f64 2)
	77.36%	(exp.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
	49.15%	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))

Compiler

Compiled 290 to 232 computations (20% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 -1 (exp.f64 a))
✓	0.02%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b))))
✓	0.02%	(/.f64 -1 (-.f64 -1 (exp.f64 a)))
✓	5.2%	(exp.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b)))

Compiler

Compiled 61 to 37 computations (39.3% saved)

series4.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(exp.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b)))
0.0ms	a	@	inf	(/.f64 -1 (-.f64 -1 (exp.f64 a)))
0.0ms	a	@	-inf	(/.f64 -1 (-.f64 -1 (exp.f64 a)))
0.0ms	a	@	0	(/.f64 -1 (-.f64 -1 (exp.f64 a)))
0.0ms	a	@	0	(exp.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b)))

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`associate-*l/`
902×	`distribute-lft-in`
764×	`associate-/r*`
532×	`associate-/r/`
464×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	290	82
2	3636	76

Stop Event

1×	node limit

Counts

4 → 320

Calls

Call 1

Inputs
(exp.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b)))
(/.f64 -1 (-.f64 -1 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b))))
(-.f64 -1 (exp.f64 a))

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b -1) (-.f64 -1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 b) (sqrt.f64 (-.f64 -1 (exp.f64 a)))) (sqrt.f64 (-.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2)) (cbrt.f64 (-.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 b) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (/.f64 1 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 b) (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 (-.f64 -1 (exp.f64 a)))) (neg.f64 (sqrt.f64 (-.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 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(expm1.f64 a)))) (cbrt.f64 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) 1) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (.f64 (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 -1 (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1 (exp.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -1 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -1 (exp.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (neg.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 -1 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -1 (exp.f64 a))))))))

simplify142.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1570×	`associate-/l*`
1496×	`associate-r`
1332×	`associate-l`
834×	`*-commutative`
700×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	811	17630
1	2421	17384

Stop Event

1×	node limit

Counts

392 → 519

Calls

Call 1

Inputs
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
1/2
(+.f64 1/2 (*.f64 -1/4 a))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 a 3)) (.f64 -1/4 a)))
(+.f64 1/2 (+.f64 (.f64 -1/480 (pow.f64 a 5)) (+.f64 (.f64 1/48 (pow.f64 a 3)) (*.f64 -1/4 a))))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
-2
(-.f64 (*.f64 -1 a) 2)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (.f64 -1 a)) 2)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (+.f64 (.f64 -1/6 (pow.f64 a 3)) (*.f64 -1 a))) 2)
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(+.f64 (.f64 (/.f64 (neg.f64 b) (-.f64 1 (pow.f64 (exp.f64 a) 2))) -1) (.f64 (/.f64 (neg.f64 b) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (exp.f64 a)))
(+.f64 (.f64 (/.f64 (neg.f64 b) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (exp.f64 a)) (.f64 (/.f64 (neg.f64 b) (-.f64 1 (pow.f64 (exp.f64 a) 2))) -1))
(+.f64 (.f64 (/.f64 (neg.f64 b) (-.f64 -1 (pow.f64 (exp.f64 a) 3))) 1) (.f64 (/.f64 (neg.f64 b) (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (*.f64 (exp.f64 a) (expm1.f64 a))))
(+.f64 (.f64 (/.f64 (neg.f64 b) (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (.f64 (exp.f64 a) (expm1.f64 a))) (*.f64 (/.f64 (neg.f64 b) (-.f64 -1 (pow.f64 (exp.f64 a) 3))) 1))
(+.f64 (.f64 (/.f64 (neg.f64 b) (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (pow.f64 (exp.f64 a) 2))) (.f64 (/.f64 (neg.f64 b) (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(*.f64 -1 (/.f64 b (-.f64 -1 (exp.f64 a))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)
(*.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)
(*.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 a) 1))) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 a) 1))) 2) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(*.f64 (neg.f64 b) (/.f64 -1 (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 -1 (+.f64 (exp.f64 a) 1)) (neg.f64 b))
(*.f64 (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)) (sqrt.f64 b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) 1)) (cbrt.f64 b))
(.f64 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 a) 1))))
(.f64 (.f64 b (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 a) 1))) 2)) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 b (-.f64 -1 (exp.f64 a))) -1)
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 -1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (-.f64 -1 (exp.f64 a)))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (-.f64 -1 (exp.f64 a)))))
(*.f64 (/.f64 b -1) (/.f64 -1 (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 (neg.f64 b) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (expm1.f64 a))
(.f64 (/.f64 (neg.f64 b) (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 b (sqrt.f64 (-.f64 -1 (exp.f64 a)))) (/.f64 -1 (sqrt.f64 (-.f64 -1 (exp.f64 a)))))
(*.f64 (/.f64 b 1) (/.f64 1 (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 a) 1))))
(.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (.f64 -1 (expm1.f64 a)))
(.f64 (/.f64 b (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 -1 (.f64 -1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 (/.f64 b -1) 1) (/.f64 -1 (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 b (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (expm1.f64 a))
(.f64 (/.f64 b (neg.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 (neg.f64 b) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (neg.f64 (expm1.f64 a)))
(.f64 (/.f64 (neg.f64 b) (neg.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(.f64 (/.f64 (neg.f64 b) (-.f64 1 (.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a))))) (expm1.f64 a))
(.f64 (/.f64 (neg.f64 b) (+.f64 -1 (pow.f64 (neg.f64 (exp.f64 a)) 3))) (+.f64 1 (-.f64 (.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a))) (*.f64 -1 (neg.f64 (exp.f64 a))))))
(*.f64 (/.f64 (/.f64 b -1) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (neg.f64 (expm1.f64 a)))
(.f64 (/.f64 (/.f64 b -1) (neg.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(.f64 (/.f64 (/.f64 b -1) (-.f64 1 (.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a))))) (expm1.f64 a))
(.f64 (/.f64 (/.f64 b -1) (+.f64 -1 (pow.f64 (neg.f64 (exp.f64 a)) 3))) (+.f64 1 (-.f64 (.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a))) (*.f64 -1 (neg.f64 (exp.f64 a))))))
(*.f64 (/.f64 (/.f64 (neg.f64 b) (sqrt.f64 (-.f64 -1 (exp.f64 a)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (sqrt.f64 (expm1.f64 a)))
(.f64 (/.f64 (/.f64 (neg.f64 b) (sqrt.f64 (-.f64 -1 (exp.f64 a)))) (sqrt.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 (/.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (cbrt.f64 (expm1.f64 a)))
(.f64 (/.f64 (/.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2)) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (expm1.f64 a))
(.f64 (/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 -1 (/.f64 (-.f64 -1 (exp.f64 a)) b))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) b))
(/.f64 (sqrt.f64 b) (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)))
(/.f64 (cbrt.f64 b) (/.f64 (+.f64 (exp.f64 a) 1) (pow.f64 (cbrt.f64 b) 2)))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))
(/.f64 (neg.f64 b) (-.f64 -1 (exp.f64 a)))
(/.f64 (neg.f64 b) (neg.f64 (+.f64 (exp.f64 a) 1)))
(/.f64 (sqrt.f64 (neg.f64 b)) (/.f64 (-.f64 -1 (exp.f64 a)) (sqrt.f64 (neg.f64 b))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 b)) (cbrt.f64 (neg.f64 b))) (/.f64 (-.f64 -1 (exp.f64 a)) (cbrt.f64 (neg.f64 b))))
(/.f64 (*.f64 -1 (sqrt.f64 b)) (/.f64 (-.f64 -1 (exp.f64 a)) (sqrt.f64 b)))
(/.f64 (*.f64 -1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (-.f64 -1 (exp.f64 a)) (cbrt.f64 b)))
(/.f64 (/.f64 b (-.f64 -1 (exp.f64 a))) -1)
(/.f64 (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(/.f64 (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2))
(/.f64 (/.f64 b -1) (-.f64 -1 (exp.f64 a)))
(/.f64 (/.f64 (neg.f64 b) (sqrt.f64 (-.f64 -1 (exp.f64 a)))) (sqrt.f64 (-.f64 -1 (exp.f64 a))))
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(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 -1 (exp.f64 a)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (+.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (neg.f64 (exp.f64 a)))))
(.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (-.f64 1 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (.f64 (exp.f64 a) (expm1.f64 a))))) (-.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (pow.f64 (.f64 (exp.f64 a) (expm1.f64 a)) 3))) (+.f64 1 (-.f64 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (.f64 (exp.f64 a) (expm1.f64 a))) (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (-.f64 -1 (exp.f64 a)) 1)
(/.f64 1 (/.f64 -1 (+.f64 (exp.f64 a) 1)))
(/.f64 (sqrt.f64 (-.f64 -1 (exp.f64 a))) (/.f64 1 (sqrt.f64 (-.f64 -1 (exp.f64 a)))))
(/.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2) (/.f64 1 (cbrt.f64 (-.f64 -1 (exp.f64 a)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (expm1.f64 a))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (/.f64 1 (expm1.f64 a))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (/.f64 (expm1.f64 a) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))))
(/.f64 (sqrt.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (sqrt.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))) (/.f64 (expm1.f64 a) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)))) (/.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (expm1.f64 a)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (*.f64 1 (neg.f64 (expm1.f64 a))))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (.f64 1 (neg.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a)))) (expm1.f64 a))
(/.f64 (-.f64 1 (.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3))) (.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 -1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 a) 2))) (.f64 (expm1.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 (+.f64 -1 (pow.f64 (neg.f64 (exp.f64 a)) 3)) (+.f64 1 (-.f64 (.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a))) (.f64 -1 (neg.f64 (exp.f64 a))))))
(/.f64 (+.f64 -1 (pow.f64 (neg.f64 (exp.f64 a)) 3)) (.f64 1 (+.f64 1 (-.f64 (.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a))) (*.f64 -1 (neg.f64 (exp.f64 a)))))))
(/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (+.f64 (.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) (.f64 -1 (pow.f64 (exp.f64 a) 3))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 2) 3)) (.f64 (expm1.f64 a) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 a) 2))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) 1) (expm1.f64 a))
(/.f64 (.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) 1) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) 1) (neg.f64 (expm1.f64 a)))
(/.f64 (.f64 (neg.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3))) 1) (neg.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (.f64 (-.f64 1 (.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a)))) 1) (expm1.f64 a))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (neg.f64 (exp.f64 a)) 3)) 1) (+.f64 1 (-.f64 (.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a))) (*.f64 -1 (neg.f64 (exp.f64 a))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (sqrt.f64 (-.f64 -1 (exp.f64 a)))) (sqrt.f64 (expm1.f64 a)))
(/.f64 (.f64 (sqrt.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (sqrt.f64 (-.f64 -1 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2)) (cbrt.f64 (expm1.f64 a)))
(/.f64 (.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2)) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 a) 2))) (/.f64 1 (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 2) 3)) (/.f64 1 (expm1.f64 a))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 a) 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))) (+.f64 -1 (pow.f64 (exp.f64 a) 3)))
(/.f64 (.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))) (+.f64 1 (+.f64 (.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) (.f64 -1 (pow.f64 (exp.f64 a) 3)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) 1) (expm1.f64 a))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (sqrt.f64 (expm1.f64 a))) (sqrt.f64 (expm1.f64 a)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (*.f64 (cbrt.f64 (expm1.f64 a)) (cbrt.f64 (expm1.f64 a)))) (cbrt.f64 (expm1.f64 a)))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) 1) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (.f64 (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(pow.f64 (-.f64 -1 (exp.f64 a)) 1)
(pow.f64 (sqrt.f64 (-.f64 -1 (exp.f64 a))) 2)
(pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 3)
(pow.f64 (pow.f64 (-.f64 -1 (exp.f64 a)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 -1 (exp.f64 a)) 2))
(log.f64 (exp.f64 (-.f64 -1 (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -1 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (-.f64 -1 (exp.f64 a)) 3))
(expm1.f64 (log.f64 (neg.f64 (exp.f64 a))))
(exp.f64 (log.f64 (-.f64 -1 (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (-.f64 -1 (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (-.f64 -1 (exp.f64 a))))

Outputs
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (.f64 -1/4 (.f64 b a)))
(fma.f64 1/2 b (.f64 b (.f64 -1/4 a)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 -1/4 (*.f64 b a))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 a (.f64 a (.f64 b 0))) (.f64 b (*.f64 -1/4 a))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 -1/4 (.f64 b a)))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (.f64 b 0)))) (fma.f64 -1 (.f64 a (.f64 a (.f64 b 0))) (.f64 b (*.f64 -1/4 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
1/2
(+.f64 1/2 (*.f64 -1/4 a))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 a 3)) (.f64 -1/4 a)))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 a 3) (*.f64 -1/4 a)))
(+.f64 1/2 (+.f64 (.f64 -1/480 (pow.f64 a 5)) (+.f64 (.f64 1/48 (pow.f64 a 3)) (*.f64 -1/4 a))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 a 5) (fma.f64 1/48 (pow.f64 a 3) (*.f64 -1/4 a))))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(/.f64 -1 (-.f64 -1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (.f64 b 0)))) (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
-2
(-.f64 (*.f64 -1 a) 2)
(fma.f64 -1 a -2)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (.f64 -1 a)) 2)
(+.f64 (fma.f64 -1/2 (*.f64 a a) (neg.f64 a)) -2)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 a 2)) (+.f64 (.f64 -1/6 (pow.f64 a 3)) (*.f64 -1 a))) 2)
(+.f64 (fma.f64 -1/2 (*.f64 a a) (fma.f64 -1/6 (pow.f64 a 3) (neg.f64 a))) -2)
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(-.f64 -1 (exp.f64 a))
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(-.f64 -1 (exp.f64 a))
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(-.f64 -1 (exp.f64 a))
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(-.f64 -1 (exp.f64 a))
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(-.f64 -1 (exp.f64 a))
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(-.f64 -1 (exp.f64 a))
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(-.f64 -1 (exp.f64 a))
(*.f64 -1 (+.f64 1 (exp.f64 a)))
(-.f64 -1 (exp.f64 a))
(+.f64 (.f64 (/.f64 (neg.f64 b) (-.f64 1 (pow.f64 (exp.f64 a) 2))) -1) (.f64 (/.f64 (neg.f64 b) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (exp.f64 a)))
(*.f64 (/.f64 (neg.f64 b) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (+.f64 -1 (exp.f64 a)))
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(/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 6) (neg.f64 (pow.f64 (exp.f64 a) 3))))))
(/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 (neg.f64 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (pow.f64 (exp.f64 a) 6)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 2) 3)) (.f64 (expm1.f64 a) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 a) 2))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 2) 3)) (*.f64 (expm1.f64 a) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 a) 4)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 6)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 a) 4)))) (expm1.f64 a))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) 1) (expm1.f64 a))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (expm1.f64 a))
(/.f64 (.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) 1) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) 1) (neg.f64 (expm1.f64 a)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (expm1.f64 a)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) 2)) (neg.f64 (expm1.f64 a)))
(/.f64 (.f64 (neg.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3))) 1) (neg.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 -1 (neg.f64 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 -1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (.f64 (-.f64 1 (.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a)))) 1) (expm1.f64 a))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (expm1.f64 a))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (neg.f64 (exp.f64 a)) 3)) 1) (+.f64 1 (-.f64 (.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a))) (*.f64 -1 (neg.f64 (exp.f64 a))))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (neg.f64 (exp.f64 a)))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (+.f64 1 (neg.f64 (exp.f64 a)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (sqrt.f64 (-.f64 -1 (exp.f64 a)))) (sqrt.f64 (expm1.f64 a)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (/.f64 (sqrt.f64 (expm1.f64 a)) (sqrt.f64 (-.f64 -1 (exp.f64 a)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (sqrt.f64 (-.f64 -1 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (sqrt.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))) (sqrt.f64 (-.f64 -1 (exp.f64 a)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 -1 (exp.f64 a))) (sqrt.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2)) (cbrt.f64 (expm1.f64 a)))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (/.f64 (cbrt.f64 (expm1.f64 a)) (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (cbrt.f64 (expm1.f64 a))) (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2)) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))) (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2)))
(.f64 (/.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))) (pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 2))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 a) 2))) (/.f64 1 (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 2)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 4)) (*.f64 (expm1.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 2) 3)) (/.f64 1 (expm1.f64 a))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 a) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 2) 3)) (*.f64 (expm1.f64 a) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 a) 4)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 6)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 a) 4)))) (expm1.f64 a))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))) (+.f64 -1 (pow.f64 (exp.f64 a) 3)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 6)) (.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 -1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))) (+.f64 1 (+.f64 (.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) (.f64 -1 (pow.f64 (exp.f64 a) 3)))))
(/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 6) (neg.f64 (pow.f64 (exp.f64 a) 3))))))
(/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 (neg.f64 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (pow.f64 (exp.f64 a) 6)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) 1) (expm1.f64 a))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (expm1.f64 a))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (sqrt.f64 (expm1.f64 a))) (sqrt.f64 (expm1.f64 a)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (*.f64 (sqrt.f64 (expm1.f64 a)) (sqrt.f64 (expm1.f64 a))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (*.f64 (cbrt.f64 (expm1.f64 a)) (cbrt.f64 (expm1.f64 a)))) (cbrt.f64 (expm1.f64 a)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (.f64 (cbrt.f64 (expm1.f64 a)) (.f64 (cbrt.f64 (expm1.f64 a)) (cbrt.f64 (expm1.f64 a)))))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) 1) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (.f64 (sqrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (.f64 (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (.f64 (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))) (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))
(pow.f64 (-.f64 -1 (exp.f64 a)) 1)
(-.f64 -1 (exp.f64 a))
(pow.f64 (sqrt.f64 (-.f64 -1 (exp.f64 a))) 2)
(-.f64 -1 (exp.f64 a))
(pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 a))) 3)
(-.f64 -1 (exp.f64 a))
(pow.f64 (pow.f64 (-.f64 -1 (exp.f64 a)) 3) 1/3)
(-.f64 -1 (exp.f64 a))
(sqrt.f64 (pow.f64 (-.f64 -1 (exp.f64 a)) 2))
(log.f64 (exp.f64 (-.f64 -1 (exp.f64 a))))
(-.f64 -1 (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -1 (exp.f64 a)))))
(-.f64 -1 (exp.f64 a))
(cbrt.f64 (pow.f64 (-.f64 -1 (exp.f64 a)) 3))
(-.f64 -1 (exp.f64 a))
(expm1.f64 (log.f64 (neg.f64 (exp.f64 a))))
(exp.f64 (log.f64 (-.f64 -1 (exp.f64 a))))
(-.f64 -1 (exp.f64 a))
(exp.f64 (*.f64 (log.f64 (-.f64 -1 (exp.f64 a))) 1))
(-.f64 -1 (exp.f64 a))
(log1p.f64 (expm1.f64 (-.f64 -1 (exp.f64 a))))
(-.f64 -1 (exp.f64 a))

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.07%	(log.f64 (+.f64 2 b))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(log.f64 (+.f64 2 b))
0.0ms	b	@	-inf	(log.f64 (+.f64 2 b))
0.0ms	b	@	0	(log.f64 (+.f64 2 b))

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`add-sqr-sqrt`
1444×	`*-un-lft-identity`
1352×	`add-cube-cbrt`
1340×	`add-cbrt-cube`
1328×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	145	11
2	1765	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(log.f64 (+.f64 2 b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (log.f64 (cbrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) (log.f64 (sqrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 8 (pow.f64 b 3))) (log.f64 (+.f64 4 (*.f64 b (-.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (cbrt.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 2 b) 1))))))

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1136×	`distribute-lft-in`
1014×	`distribute-rgt-in`
814×	`associate-+r+`
732×	`associate-r`
568×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	699
1	251	609
2	827	609
3	3253	609

Stop Event

1×	node limit

Counts

33 → 61

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (.f64 -1/8 (pow.f64 b 2))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -1 (log.f64 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 b))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 0 (log.f64 (+.f64 2 b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (log.f64 (cbrt.f64 (+.f64 2 b))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) (log.f64 (sqrt.f64 (+.f64 2 b))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 b 3))) (log.f64 (+.f64 4 (*.f64 b (-.f64 b 2)))))
(-.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)
(*.f64 (log.f64 (+.f64 2 b)) 1)
(*.f64 1 (log.f64 (+.f64 2 b)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (log.f64 (+.f64 2 b))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (cbrt.f64 (log.f64 (+.f64 2 b))))
(pow.f64 (log.f64 (+.f64 2 b)) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 b))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 b))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 b))) 1))
(log1p.f64 (-.f64 (+.f64 2 b) 1))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (.f64 -1/8 (pow.f64 b 2))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (.f64 -1/8 (.f64 b b)))
(fma.f64 1/2 b (fma.f64 -1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b -1/8) (log.f64 2)))
(fma.f64 b (*.f64 b -1/8) (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))))
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (+.f64 (log.f64 2) (.f64 -1/8 (.f64 b b)))))
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (fma.f64 -1/8 (*.f64 b b) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b -1/8) (fma.f64 1/24 (pow.f64 b 3) (log.f64 2))))
(fma.f64 1/24 (pow.f64 b 3) (fma.f64 b (*.f64 b -1/8) (fma.f64 1/2 b (log.f64 2))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b)))
(fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b))
(+.f64 (log.f64 b) (/.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -1 (log.f64 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))
(+.f64 (log.f64 b) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b))))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (/.f64 (/.f64 -2 b) b)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 2 b) (+.f64 (log.f64 b) (-.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 2 (*.f64 b b)))))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 b))))
(fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b))
(+.f64 (log.f64 b) (/.f64 2 b))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))
(+.f64 (log.f64 b) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b))))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (/.f64 (/.f64 -2 b) b)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 2 b) (+.f64 (log.f64 b) (-.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 2 (*.f64 b b)))))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b))))
(+.f64 0 (log.f64 (+.f64 2 b)))
(log.f64 (+.f64 2 b))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (log.f64 (cbrt.f64 (+.f64 2 b))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 b)))) (log.f64 (cbrt.f64 (+.f64 2 b))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 b))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) (log.f64 (sqrt.f64 (+.f64 2 b))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 b))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 b 3))) (log.f64 (+.f64 4 (*.f64 b (-.f64 b 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (+.f64 4 (*.f64 b (+.f64 b -2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (fma.f64 b (+.f64 b -2) 4)))
(-.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))
(-.f64 (log.f64 (neg.f64 (fma.f64 b b -4))) (log.f64 (-.f64 2 b)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)
(log.f64 (+.f64 2 b))
(*.f64 (log.f64 (+.f64 2 b)) 1)
(log.f64 (+.f64 2 b))
(*.f64 1 (log.f64 (+.f64 2 b)))
(log.f64 (+.f64 2 b))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (log.f64 (+.f64 2 b))))
(log.f64 (+.f64 2 b))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2))
(log.f64 (+.f64 2 b))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (cbrt.f64 (log.f64 (+.f64 2 b))))
(log.f64 (+.f64 2 b))
(pow.f64 (log.f64 (+.f64 2 b)) 1)
(log.f64 (+.f64 2 b))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) 2)
(log.f64 (+.f64 2 b))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 3)
(log.f64 (+.f64 2 b))
(pow.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) 1/3)
(log.f64 (+.f64 2 b))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2))
(log.f64 (+.f64 2 b))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3))
(log.f64 (+.f64 2 b))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 b))))
(log.f64 (+.f64 2 b))
(exp.f64 (log.f64 (log.f64 (+.f64 2 b))))
(log.f64 (+.f64 2 b))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 b))) 1))
(log.f64 (+.f64 2 b))
(log1p.f64 (-.f64 (+.f64 2 b) 1))
(log1p.f64 (+.f64 2 (-.f64 b 1)))
(log1p.f64 (+.f64 b 1))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(.f64 1/2 (.f64 b b))
✓	0.04%	(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))
✓	0.08%	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))

Compiler

Compiled 35 to 20 computations (42.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
0.0ms	b	@	-inf	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
0.0ms	b	@	0	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
0.0ms	b	@	inf	(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))
0.0ms	b	@	-inf	(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`*-commutative`
874×	`associate-*r/`
850×	`distribute-lft-in`
830×	`distribute-rgt-in`
786×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	239	46
2	3166	46

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

Inputs
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 3 b))) (-.f64 1 (*.f64 b (*.f64 b 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 b)) (-.f64 1 (+.f64 2 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2)))) (-.f64 1 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 2 b) 2) (+.f64 2 (-.f64 b (*.f64 b (*.f64 b 1/2))))) (/.f64 (pow.f64 b 4) (/.f64 (+.f64 2 (-.f64 b (*.f64 b (*.f64 b 1/2)))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (*.f64 b b) (-.f64 2 b)) (*.f64 b (*.f64 b 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 2 b) (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 b (*.f64 b 1/2)) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))) (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 1/2 (+.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 2 b) (*.f64 b (*.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b (*.f64 b 1/2)) (+.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) (+.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 2 b)) (sqrt.f64 (+.f64 2 b)) (*.f64 b (*.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (+.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) (cbrt.f64 (+.f64 2 b)) (*.f64 b (*.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b 1/2) b (+.f64 2 b))))))

simplify109.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1630×	`associate-*r/`
1280×	`associate-*l/`
878×	`associate-+l+`
852×	`+-commutative`
768×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	376	8991
1	1077	7803
2	4564	7803

Stop Event

1×	node limit

Counts

149 → 239

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/12 (pow.f64 b 3)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 0)
(+.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)))
(+.f64 0 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))) (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2))) (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))) (.f64 1 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2))) (.f64 1 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 1))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 1))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (log.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (log.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))) (log.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))) (log.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))) 1)
(.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 1)
(.f64 1 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))
(.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 2) (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 1)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(-.f64 (exp.f64 (log.f64 (+.f64 3 b))) (-.f64 1 (.f64 b (.f64 b 1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 1)
(-.f64 (exp.f64 (log1p.f64 b)) (-.f64 1 (+.f64 2 (.f64 b (.f64 b 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) (-.f64 1 (+.f64 2 b)))
(-.f64 (/.f64 (pow.f64 (+.f64 2 b) 2) (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))) (/.f64 (pow.f64 b 4) (/.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))) 1/4)))
(-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2))))
(-.f64 (+.f64 (+.f64 2 b) (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b 1/2)) (exp.f64 (log.f64 (+.f64 3 b)))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b 1/2)) (/.f64 4 (-.f64 2 b))) (/.f64 (*.f64 b b) (-.f64 2 b)))
(-.f64 (+.f64 (+.f64 2 (.f64 b (.f64 b 1/2))) (exp.f64 (log1p.f64 b))) 1)
(.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)) 1)
(.f64 1 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (/.f64 1 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))
(.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (*.f64 b 1/2)))))))
(.f64 (/.f64 1 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))) (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (*.f64 b 1/2)) 3)))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (-.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (+.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (.f64 b (.f64 b 1/2)) (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (-.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))) (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))) (+.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (.f64 (+.f64 2 b) (.f64 b (*.f64 b 1/2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 2 b) 2) 3) (pow.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))) 3))) (+.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (-.f64 (.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))) (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))) (.f64 (pow.f64 (+.f64 2 b) 2) (-.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))))
(/.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)) (/.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))) (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))
(/.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))) (/.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))) (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (/.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (/.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))) (/.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (*.f64 b 1/2)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))) (/.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (+.f64 2 b) 3)) (.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))) (-.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (*.f64 b 1/2)) 3))))
(/.f64 (-.f64 4 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2))))) (-.f64 (-.f64 2 b) (.f64 b (*.f64 b 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)) (-.f64 (.f64 b (*.f64 b 1/2)) (+.f64 2 b)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4))) (.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))) (+.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 2 b) 3) 3) (pow.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) 3)) (.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))) (+.f64 (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (+.f64 2 b) 3)) (-.f64 (.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 3)) (+.f64 4 (-.f64 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2)))) (.f64 2 (+.f64 b (.f64 b (.f64 b 1/2)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 2 b) 2) 3) (pow.f64 (.f64 (pow.f64 b 4) 1/4) 3)) (.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (neg.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(/.f64 (.f64 1 (-.f64 4 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2)))))) (-.f64 (-.f64 2 b) (.f64 b (.f64 b 1/2))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2))) (-.f64 (.f64 b (.f64 b 1/2)) (+.f64 2 b)))
(/.f64 (.f64 1 (+.f64 8 (pow.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 3))) (+.f64 4 (-.f64 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2)))) (.f64 2 (+.f64 b (.f64 b (*.f64 b 1/2)))))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))) (neg.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))) (neg.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (*.f64 b 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))) (sqrt.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))) (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 (.f64 (-.f64 4 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2))))) 1) (-.f64 (-.f64 2 b) (.f64 b (.f64 b 1/2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)) 1) (-.f64 (.f64 b (.f64 b 1/2)) (+.f64 2 b)))
(/.f64 (.f64 (+.f64 8 (pow.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 3)) 1) (+.f64 4 (-.f64 (.f64 (+.f64 b (.f64 b (.f64 b 1/2))) (+.f64 b (.f64 b (.f64 b 1/2)))) (.f64 2 (+.f64 b (.f64 b (*.f64 b 1/2)))))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) 1) (neg.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (*.f64 b 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (sqrt.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)) (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4))) (/.f64 1 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))))) (+.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 2 b) 2) 3) (pow.f64 (.f64 (pow.f64 b 4) 1/4) 3)) (/.f64 1 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))))) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (+.f64 2 b) 3)) (.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))) (-.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (*.f64 b 1/2)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 2 b) 3) 3) (pow.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))) (+.f64 (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (+.f64 2 b) 3)) (-.f64 (.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) 1) (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (sqrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))))) (sqrt.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (.f64 (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))) (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))) (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (+.f64 (.f64 b (sqrt.f64 1/2)) (sqrt.f64 (+.f64 2 b)))) (-.f64 (sqrt.f64 (+.f64 2 b)) (*.f64 b (sqrt.f64 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) 1) (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (*.f64 b 1/2)))))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))) (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(fma.f64 1/2 (*.f64 b b) (+.f64 2 b))
(fma.f64 (*.f64 b b) 1/2 (+.f64 2 b))
(fma.f64 1 (+.f64 2 b) (.f64 b (.f64 b 1/2)))
(fma.f64 1 (.f64 b (.f64 b 1/2)) (+.f64 2 b))
(fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) (+.f64 2 b))
(fma.f64 (sqrt.f64 (+.f64 2 b)) (sqrt.f64 (+.f64 2 b)) (.f64 b (.f64 b 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (.f64 b (*.f64 b 1/2))) (+.f64 2 b))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) (cbrt.f64 (+.f64 2 b)) (.f64 b (.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b (+.f64 2 b))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/12 (pow.f64 b 3)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/12 (pow.f64 b 3))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/12 (pow.f64 b 3) (log.f64 2))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b))))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b))) (/.f64 16/3 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (log.f64 1/2) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 16/3 (pow.f64 b 3)))))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (-.f64 (/.f64 2 (*.f64 b b)) (/.f64 16/3 (pow.f64 b 3)))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 2 b) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 2 b)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (/.f64 2 (.f64 b b)) (+.f64 (+.f64 (/.f64 2 b) (log.f64 1/2)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)) (+.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 2 (*.f64 b b)) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 2 b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (.f64 b b)) (-.f64 (+.f64 (+.f64 (/.f64 2 b) (log.f64 1/2)) (.f64 -2 (log.f64 (/.f64 -1 b)))) (/.f64 16/3 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)) (-.f64 (/.f64 2 b) (/.f64 16/3 (pow.f64 b 3)))))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 2 b)) (-.f64 (/.f64 2 (*.f64 b b)) (/.f64 16/3 (pow.f64 b 3)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
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(fma.f64 (*.f64 b 1/2) b (+.f64 2 b))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.34%	(log.f64 (+.f64 2 (expm1.f64 b)))

Compiler

Compiled 15 to 9 computations (40% saved)

series12.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	b	@	inf	(log.f64 (+.f64 2 (expm1.f64 b)))
6.0ms	b	@	-inf	(log.f64 (+.f64 2 (expm1.f64 b)))
0.0ms	b	@	0	(log.f64 (+.f64 2 (expm1.f64 b)))

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`add-sqr-sqrt`
1598×	`*-un-lft-identity`
1494×	`add-cube-cbrt`
1480×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	162	15
2	1959	15

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(log.f64 (+.f64 2 (expm1.f64 b)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (exp.f64 b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 2)) (log.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))) (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (log.f64 (-.f64 2 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (log.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (exp.f64 b) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (-.f64 (exp.f64 b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2) (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (-.f64 (exp.f64 b) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (-.f64 (exp.f64 b) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (-.f64 (exp.f64 b) -1) 1))))))

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1324×	`fma-def`
1094×	`distribute-lft-in`
1002×	`*-commutative`
898×	`distribute-rgt-in`
890×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	487
1	171	455
2	564	455
3	2827	443
4	6846	443

Stop Event

1×	node limit

Counts

33 → 44

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 0 (log.f64 (-.f64 (exp.f64 b) -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 2)) (log.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))) (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (log.f64 (-.f64 2 (expm1.f64 b))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (log.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (exp.f64 b) -1)))) 1)
(*.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)
(*.f64 1 (log.f64 (-.f64 (exp.f64 b) -1)))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2) (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(exp.f64 (log.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 1))
(log1p.f64 (-.f64 (-.f64 (exp.f64 b) -1) 1))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 b (*.f64 b 1/8) (fma.f64 1/2 b (log.f64 2)))
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 -1/192 (pow.f64 b 4) (fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 0 (log.f64 (-.f64 (exp.f64 b) -1)))
(log1p.f64 (exp.f64 b))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 2)) (log.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)
(*.f64 (log.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b)))) 3)
(+.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))) (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b)))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (log.f64 (-.f64 2 (expm1.f64 b))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (log.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (log.f64 (+.f64 4 (*.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2)))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (log.f64 (fma.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2) 4)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (log.f64 (fma.f64 (expm1.f64 b) (+.f64 (exp.f64 b) -3) 4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (exp.f64 b) -1)))) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log.f64 (-.f64 (exp.f64 b) -1)))
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2) (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (exp.f64 b))
(pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 2))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (exp.f64 b))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 1))
(log1p.f64 (exp.f64 b))
(log1p.f64 (-.f64 (-.f64 (exp.f64 b) -1) 1))
(log1p.f64 (exp.f64 b))

eval343.0ms (2%)

Compiler: Compiled 22059 to 13825 computations (37.3% saved)

prune183.0ms (1.1%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	870	7	877
Fresh	2	5	7
Picked	0	1	1
Done	3	5	8
Total	875	18	893

Error

0.95%

Counts

893 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	95.02%	(/.f64 b (+.f64 a 2))
✓	48.83%	(/.f64 b (+.f64 2 (expm1.f64 a)))
✓	88.19%	(/.f64 b 2)
	50.04%	(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)
	49.67%	(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
	49.07%	(+.f64 (*.f64 1/2 b) (log.f64 2))
	58.75%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (*.f64 1/2 b))))
	51.32%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 b))))
	49.08%	(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
	49.33%	(log1p.f64 (+.f64 b 1))
✓	48.53%	(log1p.f64 (exp.f64 b))
✓	48.65%	(log1p.f64 (exp.f64 a))
	49.09%	(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
	49.09%	(log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	48.54%	(log.f64 (+.f64 2 (expm1.f64 b)))
✓	49.97%	(log.f64 2)
	77.36%	(exp.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
	49.15%	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))

Compiler

Compiled 175 to 140 computations (20% saved)

regimes59.0ms (0.3%)

Counts

35 → 1

Calls

Call 1

Inputs
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 b 1))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)
(log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b)))))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 2 (expm1.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (*.f64 1/2 b))))
(+.f64 (log1p.f64 (exp.f64 a)) (.f64 (/.f64 1 (.f64 2 (cbrt.f64 (/.f64 1 (*.f64 b b))))) (cbrt.f64 b)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))) b))))
(exp.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b)))
(log.f64 (fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)))))

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

Calls

6 calls:

17.0ms	b
16.0ms	a
5.0ms	(exp.f64 a)
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Error	Segments	Branch
1.96%	1	`a`
1.96%	1	`b`
1.96%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.96%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.96%	1	`(exp.f64 a)`
1.96%	1	`(exp.f64 b)`

Compiler

Compiled 406 to 246 computations (39.4% saved)

regimes43.0ms (0.3%)

Counts

24 → 1

Calls

Call 1

Inputs
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 b 1))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)
(log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b)))))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 2 (expm1.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))

Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

Calls

6 calls:

12.0ms	a
12.0ms	b
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(exp.f64 b)

Results

Error	Segments	Branch
2.75%	1	`a`
2.75%	1	`b`
2.75%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
2.75%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
2.75%	1	`(exp.f64 a)`
2.75%	1	`(exp.f64 b)`

Compiler

Compiled 204 to 141 computations (30.9% saved)

regimes119.0ms (0.7%)

Counts

21 → 2

Calls

Call 1

Inputs
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 b 1))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)
(log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b)))))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 2 (expm1.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Calls

6 calls:

73.0ms	b
22.0ms	a
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.27%	2	`a`
26.82%	8	`b`
2.45%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
2.45%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.27%	2	`(exp.f64 a)`
43.94%	1	`(exp.f64 b)`

Compiler

Compiled 182 to 126 computations (30.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.0031712126607626873

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes102.0ms (0.6%)

Counts

20 → 2

Calls

Call 1

Inputs
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 b 1))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)
(log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b)))))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 2 (expm1.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Calls

4 calls:

69.0ms	b
19.0ms	a
5.0ms	(exp.f64 a)
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
1.9%	2	`a`
27.67%	7	`b`
1.9%	2	`(exp.f64 a)`
44.01%	2	`(exp.f64 b)`

Compiler

Compiled 161 to 113 computations (29.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.0031712126607626873

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes99.0ms (0.6%)

Counts

19 → 2

Calls

Call 1

Inputs
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 b 1))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)
(log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b)))))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 2 (expm1.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 b))))

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log1p.f64 (exp.f64 b))

Calls

4 calls:

67.0ms	b
18.0ms	a
5.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
2.08%	2	`a`
27.67%	7	`b`
2.08%	2	`(exp.f64 a)`
44.3%	2	`(exp.f64 b)`

Compiler

Compiled 148 to 106 computations (28.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.0031712126607626873

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes85.0ms (0.5%)

Counts

14 → 2

Calls

Call 1

Inputs
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 b 1))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)
(log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b)))))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))

Calls

3 calls:

63.0ms	b
15.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
2.54%	2	`a`
27.67%	7	`b`
2.54%	2	`(exp.f64 a)`

Compiler

Compiled 117 to 84 computations (28.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0031712126607626873	0.9978429560479446

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes60.0ms (0.4%)

Counts

11 → 2

Calls

Call 1

Inputs
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 b 1))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)
(log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b)))))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))

Calls

2 calls:

45.0ms	b
13.0ms	a

Results

Error	Segments	Branch
2.72%	2	`a`
28.63%	7	`b`

Compiler

Compiled 76 to 55 computations (27.6% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-7220.570455373491	-5.753641221416454

Results

14.0ms	115×	body	256	valid
3.0ms	13×	body	512	valid

Compiler

Compiled 189 to 146 computations (22.8% saved)

regimes57.0ms (0.3%)

Counts

10 → 2

Calls

Call 1

Inputs
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 b 1))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)
(log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b)))))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b)))))

Calls

2 calls:

43.0ms	b
11.0ms	a

Results

Error	Segments	Branch
2.73%	2	`a`
28.63%	7	`b`

Compiler

Compiled 66 to 48 computations (27.3% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-7220.570455373491	-5.753641221416454

Results

15.0ms	117×	body	256	valid
3.0ms	11×	body	512	valid

Compiler

Compiled 189 to 146 computations (22.8% saved)

regimes51.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

Inputs
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 b 1))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))

Calls

2 calls:

37.0ms	b
12.0ms	a

Results

Error	Segments	Branch
2.86%	2	`a`
28.63%	7	`b`

Compiler

Compiled 46 to 35 computations (23.9% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-7220.570455373491	-5.753641221416454

Results

13.0ms	113×	body	256	valid
4.0ms	15×	body	512	valid

Compiler

Compiled 157 to 130 computations (17.2% saved)

regimes16.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

Inputs
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 b 1))
(+.f64 (*.f64 1/2 b) (log.f64 2))

Outputs
(/.f64 b 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))

Calls

2 calls:

8.0ms	a
6.0ms	b

Results

Error	Segments	Branch
42.21%	2	`a`
49.07%	1	`b`

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-7220.570455373491	-5.753641221416454

Results

15.0ms	115×	body	256	valid
3.0ms	13×	body	512	valid

Compiler

Compiled 133 to 114 computations (14.3% saved)

regimes13.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log1p.f64 (+.f64 b 1))

Outputs
(/.f64 b 2)
(log1p.f64 (+.f64 b 1))

Calls

2 calls:

8.0ms	a
4.0ms	b

Results

Error	Segments	Branch
42.31%	2	`a`
49.33%	1	`b`

Compiler

Compiled 26 to 19 computations (26.9% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-7220.570455373491	-5.753641221416454

Results

15.0ms	117×	body	256	valid
3.0ms	11×	body	512	valid

Compiler

Compiled 117 to 98 computations (16.2% saved)

regimes12.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 (+.f64 2 b))

Outputs
(/.f64 b 2)
(log.f64 (+.f64 2 b))

Calls

2 calls:

7.0ms	a
4.0ms	b

Results

Error	Segments	Branch
42.31%	2	`a`
49.33%	1	`b`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-7220.570455373491	-5.753641221416454

Results

15.0ms	63×	body	512	valid
9.0ms	65×	body	256	valid

Compiler

Compiled 117 to 98 computations (16.2% saved)

regimes10.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)

Outputs
(/.f64 b 2)
(log.f64 2)

Calls

2 calls:

6.0ms	a
3.0ms	b

Results

Error	Segments	Branch
42.95%	2	`a`
49.97%	1	`b`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-7220.570455373491	-5.753641221416454

Results

15.0ms	115×	body	256	valid
3.0ms	13×	body	512	valid

Compiler

Compiled 101 to 90 computations (10.9% saved)

regimes7.0ms (0%)

Accuracy

Total -4.4b remaining (-7.8%)

Threshold costs -4.4b (-7.8%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 b 2)
(/.f64 b (+.f64 a 2))

Outputs
(/.f64 b 2)

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
88.19%	1	`a`
88.19%	1	`b`

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`+-commutative`
16×	`*-commutative`
4×	`distribute-lft-neg-in`
4×	`sub-neg`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	546
1	108	546
2	117	546
3	121	546
4	124	546
5	125	546

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 5764607523034235/1152921504606846976) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2))))
(if (<=.f64 a -55) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1)))
(if (<=.f64 a -32) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))))
(if (<=.f64 a -35) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -110) (/.f64 b 2) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -120) (/.f64 b 2) (log1p.f64 (+.f64 b 1)))
(if (<=.f64 a -170) (/.f64 b 2) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -82) (/.f64 b 2) (log.f64 2))
(/.f64 b 2)

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 5764607523034235/1152921504606846976) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 5764607523034235/1152921504606846976) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (.f64 a (-.f64 1/2 (.f64 b 1/4))) (+.f64 (*.f64 b 1/2) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 5764607523034235/1152921504606846976) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (.f64 a (+.f64 1/2 (.f64 b -1/4))) (+.f64 (*.f64 b 1/2) (log.f64 2))))
(if (<=.f64 a -55) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1)))
(if (<=.f64 a -55) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (+.f64 1 (+.f64 b (.f64 b (.f64 b 1/2))))))
(if (<=.f64 a -32) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))))
(if (<=.f64 a -35) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -35) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -110) (/.f64 b 2) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -110) (/.f64 b 2) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -120) (/.f64 b 2) (log1p.f64 (+.f64 b 1)))
(if (<=.f64 a -170) (/.f64 b 2) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -170) (/.f64 b 2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -82) (/.f64 b 2) (log.f64 2))
(/.f64 b 2)

Compiler

Compiled 227 to 169 computations (25.6% saved)

soundness176.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1308×	`associate-+r+`
1090×	`fma-def`
1032×	`+-commutative`
1004×	`unswap-sqr`
902×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2618
1	499	2362
2	1982	2350
3	7711	2350
0	588	12328
1	1637	11828
2	7237	11678

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 76 to 48 computations (36.8% saved)

end114.0ms (0.7%)

Compiler: Compiled 239 to 156 computations (34.7% saved)